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Finding the Fourth Proportional to 32,867,897.40, 49,207,367.70 and 20,113,313.40

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Solution

The fourth proportional to 32,867,897.40, 49,207,367.70 and 20,113,313.40 is: 30,112,154.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,867,897.40 : 49,207,367.70 = 20,113,313.40 : x
  2. Step 2: Convert to fraction form
    32,867,897.40/49,207,367.70 = 20,113,313.40/x
  3. Step 3: Cross multiply
    32,867,897.40x = 49,207,367.70 × 20,113,313.40
  4. Step 4: Simplify right side
    32,867,897.40x = 989,723,208,139,137.12
  5. Step 5: Solve for x
    x = 989,723,208,139,137.12/32,867,897.40
  6. Step 6: Final answer
    x = 30,112,154.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.