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Finding the Fourth Proportional to 49,909.96, 74,865.02 and 14,849.96

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Solution

The fourth proportional to 49,909.96, 74,865.02 and 14,849.96 is: 22,274.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,909.96 : 74,865.02 = 14,849.96 : x
  2. Step 2: Convert to fraction form
    49,909.96/74,865.02 = 14,849.96/x
  3. Step 3: Cross multiply
    49,909.96x = 74,865.02 × 14,849.96
  4. Step 4: Simplify right side
    49,909.96x = 1,111,742,552.40
  5. Step 5: Solve for x
    x = 1,111,742,552.40/49,909.96
  6. Step 6: Final answer
    x = 22,274.96

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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.