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Finding the Fourth Proportional to 37,710.28, 56,565.72 and 11,417.08

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Solution

The fourth proportional to 37,710.28, 56,565.72 and 11,417.08 is: 17,125.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,710.28 : 56,565.72 = 11,417.08 : x
  2. Step 2: Convert to fraction form
    37,710.28/56,565.72 = 11,417.08/x
  3. Step 3: Cross multiply
    37,710.28x = 56,565.72 × 11,417.08
  4. Step 4: Simplify right side
    37,710.28x = 645,815,350.50
  5. Step 5: Solve for x
    x = 645,815,350.50/37,710.28
  6. Step 6: Final answer
    x = 17,125.71

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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.