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Finding the Fourth Proportional to 73,959.76, 102,064.52 and 40,425.76

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Solution

The fourth proportional to 73,959.76, 102,064.52 and 40,425.76 is: 55,787.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,959.76 : 102,064.52 = 40,425.76 : x
  2. Step 2: Convert to fraction form
    73,959.76/102,064.52 = 40,425.76/x
  3. Step 3: Cross multiply
    73,959.76x = 102,064.52 × 40,425.76
  4. Step 4: Simplify right side
    73,959.76x = 4,126,035,790.04
  5. Step 5: Solve for x
    x = 4,126,035,790.04/73,959.76
  6. Step 6: Final answer
    x = 55,787.58

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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.