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Finding the Fourth Proportional to 54,048, 81,113.76 and 37,524

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Solution

The fourth proportional to 54,048, 81,113.76 and 37,524 is: 56,314.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,048 : 81,113.76 = 37,524 : x
  2. Step 2: Convert to fraction form
    54,048/81,113.76 = 37,524/x
  3. Step 3: Cross multiply
    54,048x = 81,113.76 × 37,524
  4. Step 4: Simplify right side
    54,048x = 3,043,712,730.24
  5. Step 5: Solve for x
    x = 3,043,712,730.24/54,048
  6. Step 6: Final answer
    x = 56,314.99

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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.