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Finding the Fourth Proportional to 37,115.98, 55,681.85 and 12,154.19

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Solution

The fourth proportional to 37,115.98, 55,681.85 and 12,154.19 is: 18,233.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,115.98 : 55,681.85 = 12,154.19 : x
  2. Step 2: Convert to fraction form
    37,115.98/55,681.85 = 12,154.19/x
  3. Step 3: Cross multiply
    37,115.98x = 55,681.85 × 12,154.19
  4. Step 4: Simplify right side
    37,115.98x = 676,767,468.06
  5. Step 5: Solve for x
    x = 676,767,468.06/37,115.98
  6. Step 6: Final answer
    x = 18,233.86

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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.