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Finding the Fourth Proportional to 96,295.59, 144,505.35 and 51,952.95

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Solution

The fourth proportional to 96,295.59, 144,505.35 and 51,952.95 is: 77,962.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,295.59 : 144,505.35 = 51,952.95 : x
  2. Step 2: Convert to fraction form
    96,295.59/144,505.35 = 51,952.95/x
  3. Step 3: Cross multiply
    96,295.59x = 144,505.35 × 51,952.95
  4. Step 4: Simplify right side
    96,295.59x = 7,507,479,223.28
  5. Step 5: Solve for x
    x = 7,507,479,223.28/96,295.59
  6. Step 6: Final answer
    x = 77,962.86

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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.