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Finding the Fourth Proportional to 54,853.60, 82,280.40 and 15,417.40

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Solution

The fourth proportional to 54,853.60, 82,280.40 and 15,417.40 is: 23,126.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,853.60 : 82,280.40 = 15,417.40 : x
  2. Step 2: Convert to fraction form
    54,853.60/82,280.40 = 15,417.40/x
  3. Step 3: Cross multiply
    54,853.60x = 82,280.40 × 15,417.40
  4. Step 4: Simplify right side
    54,853.60x = 1,268,549,838.96
  5. Step 5: Solve for x
    x = 1,268,549,838.96/54,853.60
  6. Step 6: Final answer
    x = 23,126.10

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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.