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Finding the Fourth Proportional to 101,452.48, 151,956.80 and 51,446.40

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Solution

The fourth proportional to 101,452.48, 151,956.80 and 51,446.40 is: 77,057.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,452.48 : 151,956.80 = 51,446.40 : x
  2. Step 2: Convert to fraction form
    101,452.48/151,956.80 = 51,446.40/x
  3. Step 3: Cross multiply
    101,452.48x = 151,956.80 × 51,446.40
  4. Step 4: Simplify right side
    101,452.48x = 7,817,630,315.52
  5. Step 5: Solve for x
    x = 7,817,630,315.52/101,452.48
  6. Step 6: Final answer
    x = 77,057.06

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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.