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Finding the Fourth Proportional to 57,824.80, 86,704.80 and 24,539.20

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Solution

The fourth proportional to 57,824.80, 86,704.80 and 24,539.20 is: 36,795.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,824.80 : 86,704.80 = 24,539.20 : x
  2. Step 2: Convert to fraction form
    57,824.80/86,704.80 = 24,539.20/x
  3. Step 3: Cross multiply
    57,824.80x = 86,704.80 × 24,539.20
  4. Step 4: Simplify right side
    57,824.80x = 2,127,666,428.16
  5. Step 5: Solve for x
    x = 2,127,666,428.16/57,824.80
  6. Step 6: Final answer
    x = 36,795.05

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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.