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Finding the Fourth Proportional to 76,957.44, 106,200.72 and 42,963.92

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Solution

The fourth proportional to 76,957.44, 106,200.72 and 42,963.92 is: 59,289.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,957.44 : 106,200.72 = 42,963.92 : x
  2. Step 2: Convert to fraction form
    76,957.44/106,200.72 = 42,963.92/x
  3. Step 3: Cross multiply
    76,957.44x = 106,200.72 × 42,963.92
  4. Step 4: Simplify right side
    76,957.44x = 4,562,799,238.02
  5. Step 5: Solve for x
    x = 4,562,799,238.02/76,957.44
  6. Step 6: Final answer
    x = 59,289.90

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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.