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Finding the Fourth Proportional to 101,957.68, 152,969.04 and 42,777.46

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Solution

The fourth proportional to 101,957.68, 152,969.04 and 42,777.46 is: 64,179.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,957.68 : 152,969.04 = 42,777.46 : x
  2. Step 2: Convert to fraction form
    101,957.68/152,969.04 = 42,777.46/x
  3. Step 3: Cross multiply
    101,957.68x = 152,969.04 × 42,777.46
  4. Step 4: Simplify right side
    101,957.68x = 6,543,626,989.84
  5. Step 5: Solve for x
    x = 6,543,626,989.84/101,957.68
  6. Step 6: Final answer
    x = 64,179.83

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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.