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Finding the Fourth Proportional to 96,762, 145,006.88 and 76,952.64

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Solution

The fourth proportional to 96,762, 145,006.88 and 76,952.64 is: 115,320.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,762 : 145,006.88 = 76,952.64 : x
  2. Step 2: Convert to fraction form
    96,762/145,006.88 = 76,952.64/x
  3. Step 3: Cross multiply
    96,762x = 145,006.88 × 76,952.64
  4. Step 4: Simplify right side
    96,762x = 11,158,662,234.16
  5. Step 5: Solve for x
    x = 11,158,662,234.16/96,762
  6. Step 6: Final answer
    x = 115,320.71

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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.