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Finding the Fourth Proportional to 101,842.64, 152,763.69 and 57,449.24

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Solution

The fourth proportional to 101,842.64, 152,763.69 and 57,449.24 is: 86,173.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,842.64 : 152,763.69 = 57,449.24 : x
  2. Step 2: Convert to fraction form
    101,842.64/152,763.69 = 57,449.24/x
  3. Step 3: Cross multiply
    101,842.64x = 152,763.69 × 57,449.24
  4. Step 4: Simplify right side
    101,842.64x = 8,776,157,890.10
  5. Step 5: Solve for x
    x = 8,776,157,890.10/101,842.64
  6. Step 6: Final answer
    x = 86,173.71

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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.