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Finding the Fourth Proportional to 57,145.66, 85,724.12 and 19,700.80

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Solution

The fourth proportional to 57,145.66, 85,724.12 and 19,700.80 is: 29,553.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,145.66 : 85,724.12 = 19,700.80 : x
  2. Step 2: Convert to fraction form
    57,145.66/85,724.12 = 19,700.80/x
  3. Step 3: Cross multiply
    57,145.66x = 85,724.12 × 19,700.80
  4. Step 4: Simplify right side
    57,145.66x = 1,688,833,743.30
  5. Step 5: Solve for x
    x = 1,688,833,743.30/57,145.66
  6. Step 6: Final answer
    x = 29,553.14

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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.