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Finding the Fourth Proportional to 76,925.97, 106,059.16 and 63,077.28

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Solution

The fourth proportional to 76,925.97, 106,059.16 and 63,077.28 is: 86,965.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,925.97 : 106,059.16 = 63,077.28 : x
  2. Step 2: Convert to fraction form
    76,925.97/106,059.16 = 63,077.28/x
  3. Step 3: Cross multiply
    76,925.97x = 106,059.16 × 63,077.28
  4. Step 4: Simplify right side
    76,925.97x = 6,689,923,430.23
  5. Step 5: Solve for x
    x = 6,689,923,430.23/76,925.97
  6. Step 6: Final answer
    x = 86,965.73

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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.