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Finding the Fourth Proportional to 37,102.99, 55,657.92 and 13,416.46

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Solution

The fourth proportional to 37,102.99, 55,657.92 and 13,416.46 is: 20,125.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,102.99 : 55,657.92 = 13,416.46 : x
  2. Step 2: Convert to fraction form
    37,102.99/55,657.92 = 13,416.46/x
  3. Step 3: Cross multiply
    37,102.99x = 55,657.92 × 13,416.46
  4. Step 4: Simplify right side
    37,102.99x = 746,732,257.36
  5. Step 5: Solve for x
    x = 746,732,257.36/37,102.99
  6. Step 6: Final answer
    x = 20,125.93

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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.