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Finding the Fourth Proportional to 37,689.84, 56,535.12 and 9,987.84

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Solution

The fourth proportional to 37,689.84, 56,535.12 and 9,987.84 is: 14,981.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,689.84 : 56,535.12 = 9,987.84 : x
  2. Step 2: Convert to fraction form
    37,689.84/56,535.12 = 9,987.84/x
  3. Step 3: Cross multiply
    37,689.84x = 56,535.12 × 9,987.84
  4. Step 4: Simplify right side
    37,689.84x = 564,663,732.94
  5. Step 5: Solve for x
    x = 564,663,732.94/37,689.84
  6. Step 6: Final answer
    x = 14,981.86

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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.