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Finding the Fourth Proportional to 65,339.20, 90,188.40 and 51,934.24

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Solution

The fourth proportional to 65,339.20, 90,188.40 and 51,934.24 is: 71,685.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,339.20 : 90,188.40 = 51,934.24 : x
  2. Step 2: Convert to fraction form
    65,339.20/90,188.40 = 51,934.24/x
  3. Step 3: Cross multiply
    65,339.20x = 90,188.40 × 51,934.24
  4. Step 4: Simplify right side
    65,339.20x = 4,683,866,010.82
  5. Step 5: Solve for x
    x = 4,683,866,010.82/65,339.20
  6. Step 6: Final answer
    x = 71,685.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.