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Finding the Fourth Proportional to 37,655.16, 56,448.17 and 13,013.88

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Solution

The fourth proportional to 37,655.16, 56,448.17 and 13,013.88 is: 19,508.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,655.16 : 56,448.17 = 13,013.88 : x
  2. Step 2: Convert to fraction form
    37,655.16/56,448.17 = 13,013.88/x
  3. Step 3: Cross multiply
    37,655.16x = 56,448.17 × 13,013.88
  4. Step 4: Simplify right side
    37,655.16x = 734,609,460.89
  5. Step 5: Solve for x
    x = 734,609,460.89/37,655.16
  6. Step 6: Final answer
    x = 19,508.87

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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.