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Finding the Fourth Proportional to 37,234.56, 55,854.24 and 16,458

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Solution

The fourth proportional to 37,234.56, 55,854.24 and 16,458 is: 24,688.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,234.56 : 55,854.24 = 16,458 : x
  2. Step 2: Convert to fraction form
    37,234.56/55,854.24 = 16,458/x
  3. Step 3: Cross multiply
    37,234.56x = 55,854.24 × 16,458
  4. Step 4: Simplify right side
    37,234.56x = 919,249,081.92
  5. Step 5: Solve for x
    x = 919,249,081.92/37,234.56
  6. Step 6: Final answer
    x = 24,688.06

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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.