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Finding the Fourth Proportional to 57,139.69, 85,709.55 and 19,710.49

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Solution

The fourth proportional to 57,139.69, 85,709.55 and 19,710.49 is: 29,565.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,139.69 : 85,709.55 = 19,710.49 : x
  2. Step 2: Convert to fraction form
    57,139.69/85,709.55 = 19,710.49/x
  3. Step 3: Cross multiply
    57,139.69x = 85,709.55 × 19,710.49
  4. Step 4: Simplify right side
    57,139.69x = 1,689,377,228.18
  5. Step 5: Solve for x
    x = 1,689,377,228.18/57,139.69
  6. Step 6: Final answer
    x = 29,565.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.