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Finding the Fourth Proportional to 57,657.76, 86,459.76 and 29,948.32

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Solution

The fourth proportional to 57,657.76, 86,459.76 and 29,948.32 is: 44,908.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,657.76 : 86,459.76 = 29,948.32 : x
  2. Step 2: Convert to fraction form
    57,657.76/86,459.76 = 29,948.32/x
  3. Step 3: Cross multiply
    57,657.76x = 86,459.76 × 29,948.32
  4. Step 4: Simplify right side
    57,657.76x = 2,589,324,559.60
  5. Step 5: Solve for x
    x = 2,589,324,559.60/57,657.76
  6. Step 6: Final answer
    x = 44,908.52

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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.