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Finding the Fourth Proportional to 71,071.50, 106,607.79 and 24,324.78

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Solution

The fourth proportional to 71,071.50, 106,607.79 and 24,324.78 is: 36,487.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,071.50 : 106,607.79 = 24,324.78 : x
  2. Step 2: Convert to fraction form
    71,071.50/106,607.79 = 24,324.78/x
  3. Step 3: Cross multiply
    71,071.50x = 106,607.79 × 24,324.78
  4. Step 4: Simplify right side
    71,071.50x = 2,593,211,038.04
  5. Step 5: Solve for x
    x = 2,593,211,038.04/71,071.50
  6. Step 6: Final answer
    x = 36,487.35

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Double scale
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1.5x scale

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.