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Finding the Fourth Proportional to 57,005.68, 85,500.51 and 19,565.14

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Solution

The fourth proportional to 57,005.68, 85,500.51 and 19,565.14 is: 29,344.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,005.68 : 85,500.51 = 19,565.14 : x
  2. Step 2: Convert to fraction form
    57,005.68/85,500.51 = 19,565.14/x
  3. Step 3: Cross multiply
    57,005.68x = 85,500.51 × 19,565.14
  4. Step 4: Simplify right side
    57,005.68x = 1,672,829,448.22
  5. Step 5: Solve for x
    x = 1,672,829,448.22/57,005.68
  6. Step 6: Final answer
    x = 29,344.96

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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.