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Finding the Fourth Proportional to 101,892.16, 152,843.10 and 42,729.76

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Solution

The fourth proportional to 101,892.16, 152,843.10 and 42,729.76 is: 64,096.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,892.16 : 152,843.10 = 42,729.76 : x
  2. Step 2: Convert to fraction form
    101,892.16/152,843.10 = 42,729.76/x
  3. Step 3: Cross multiply
    101,892.16x = 152,843.10 × 42,729.76
  4. Step 4: Simplify right side
    101,892.16x = 6,530,948,980.66
  5. Step 5: Solve for x
    x = 6,530,948,980.66/101,892.16
  6. Step 6: Final answer
    x = 64,096.68

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1.5x scale

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.