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Finding the Fourth Proportional to 37,658.13, 51,962.81 and 22,547.17

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Solution

The fourth proportional to 37,658.13, 51,962.81 and 22,547.17 is: 31,111.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,658.13 : 51,962.81 = 22,547.17 : x
  2. Step 2: Convert to fraction form
    37,658.13/51,962.81 = 22,547.17/x
  3. Step 3: Cross multiply
    37,658.13x = 51,962.81 × 22,547.17
  4. Step 4: Simplify right side
    37,658.13x = 1,171,614,310.75
  5. Step 5: Solve for x
    x = 1,171,614,310.75/37,658.13
  6. Step 6: Final answer
    x = 31,111.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.