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Finding the Fourth Proportional to 71,048.28, 106,550.40 and 24,290.28

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Solution

The fourth proportional to 71,048.28, 106,550.40 and 24,290.28 is: 36,427.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,048.28 : 106,550.40 = 24,290.28 : x
  2. Step 2: Convert to fraction form
    71,048.28/106,550.40 = 24,290.28/x
  3. Step 3: Cross multiply
    71,048.28x = 106,550.40 × 24,290.28
  4. Step 4: Simplify right side
    71,048.28x = 2,588,139,050.11
  5. Step 5: Solve for x
    x = 2,588,139,050.11/71,048.28
  6. Step 6: Final answer
    x = 36,427.89

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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.