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Finding the Fourth Proportional to 71,702.14, 107,483.01 and 40,127.62

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Solution

The fourth proportional to 71,702.14, 107,483.01 and 40,127.62 is: 60,152.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,702.14 : 107,483.01 = 40,127.62 : x
  2. Step 2: Convert to fraction form
    71,702.14/107,483.01 = 40,127.62/x
  3. Step 3: Cross multiply
    71,702.14x = 107,483.01 × 40,127.62
  4. Step 4: Simplify right side
    71,702.14x = 4,313,037,381.74
  5. Step 5: Solve for x
    x = 4,313,037,381.74/71,702.14
  6. Step 6: Final answer
    x = 60,152.14

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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.