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Finding the Fourth Proportional to 54,878.50, 82,323.26 and 14,898.16

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Solution

The fourth proportional to 54,878.50, 82,323.26 and 14,898.16 is: 22,348.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,878.50 : 82,323.26 = 14,898.16 : x
  2. Step 2: Convert to fraction form
    54,878.50/82,323.26 = 14,898.16/x
  3. Step 3: Cross multiply
    54,878.50x = 82,323.26 × 14,898.16
  4. Step 4: Simplify right side
    54,878.50x = 1,226,465,099.20
  5. Step 5: Solve for x
    x = 1,226,465,099.20/54,878.50
  6. Step 6: Final answer
    x = 22,348.74

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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.