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Finding the Fourth Proportional to 37,701.84, 56,545.47 and 11,400.42

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Solution

The fourth proportional to 37,701.84, 56,545.47 and 11,400.42 is: 17,098.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,701.84 : 56,545.47 = 11,400.42 : x
  2. Step 2: Convert to fraction form
    37,701.84/56,545.47 = 11,400.42/x
  3. Step 3: Cross multiply
    37,701.84x = 56,545.47 × 11,400.42
  4. Step 4: Simplify right side
    37,701.84x = 644,642,107.10
  5. Step 5: Solve for x
    x = 644,642,107.10/37,701.84
  6. Step 6: Final answer
    x = 17,098.43

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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.