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Finding the Fourth Proportional to 41,460.80, 62,344.80 and 34,702.40

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Solution

The fourth proportional to 41,460.80, 62,344.80 and 34,702.40 is: 52,182.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,460.80 : 62,344.80 = 34,702.40 : x
  2. Step 2: Convert to fraction form
    41,460.80/62,344.80 = 34,702.40/x
  3. Step 3: Cross multiply
    41,460.80x = 62,344.80 × 34,702.40
  4. Step 4: Simplify right side
    41,460.80x = 2,163,514,187.52
  5. Step 5: Solve for x
    x = 2,163,514,187.52/41,460.80
  6. Step 6: Final answer
    x = 52,182.16

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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.