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Finding the Fourth Proportional to 37,102.26, 55,656.87 and 13,415.76

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Solution

The fourth proportional to 37,102.26, 55,656.87 and 13,415.76 is: 20,124.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,102.26 : 55,656.87 = 13,415.76 : x
  2. Step 2: Convert to fraction form
    37,102.26/55,656.87 = 13,415.76/x
  3. Step 3: Cross multiply
    37,102.26x = 55,656.87 × 13,415.76
  4. Step 4: Simplify right side
    37,102.26x = 746,679,210.27
  5. Step 5: Solve for x
    x = 746,679,210.27/37,102.26
  6. Step 6: Final answer
    x = 20,124.90

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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.