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Finding the Fourth Proportional to 96,730.80, 145,211.40 and 54,644.40

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Solution

The fourth proportional to 96,730.80, 145,211.40 and 54,644.40 is: 82,031.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,730.80 : 145,211.40 = 54,644.40 : x
  2. Step 2: Convert to fraction form
    96,730.80/145,211.40 = 54,644.40/x
  3. Step 3: Cross multiply
    96,730.80x = 145,211.40 × 54,644.40
  4. Step 4: Simplify right side
    96,730.80x = 7,934,989,826.16
  5. Step 5: Solve for x
    x = 7,934,989,826.16/96,730.80
  6. Step 6: Final answer
    x = 82,031.68

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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.