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Finding the Fourth Proportional to 54,951.40, 82,427.10 and 48,390.40

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Solution

The fourth proportional to 54,951.40, 82,427.10 and 48,390.40 is: 72,585.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,951.40 : 82,427.10 = 48,390.40 : x
  2. Step 2: Convert to fraction form
    54,951.40/82,427.10 = 48,390.40/x
  3. Step 3: Cross multiply
    54,951.40x = 82,427.10 × 48,390.40
  4. Step 4: Simplify right side
    54,951.40x = 3,988,680,339.84
  5. Step 5: Solve for x
    x = 3,988,680,339.84/54,951.40
  6. Step 6: Final answer
    x = 72,585.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.