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Finding the Fourth Proportional to 101,957.59, 152,963.86 and 42,777.37

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Solution

The fourth proportional to 101,957.59, 152,963.86 and 42,777.37 is: 64,177.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,957.59 : 152,963.86 = 42,777.37 : x
  2. Step 2: Convert to fraction form
    101,957.59/152,963.86 = 42,777.37/x
  3. Step 3: Cross multiply
    101,957.59x = 152,963.86 × 42,777.37
  4. Step 4: Simplify right side
    101,957.59x = 6,543,391,635.85
  5. Step 5: Solve for x
    x = 6,543,391,635.85/101,957.59
  6. Step 6: Final answer
    x = 64,177.58

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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.