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Finding the Fourth Proportional to 57,807.56, 86,719.80 and 24,527.60

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Solution

The fourth proportional to 57,807.56, 86,719.80 and 24,527.60 is: 36,794.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,807.56 : 86,719.80 = 24,527.60 : x
  2. Step 2: Convert to fraction form
    57,807.56/86,719.80 = 24,527.60/x
  3. Step 3: Cross multiply
    57,807.56x = 86,719.80 × 24,527.60
  4. Step 4: Simplify right side
    57,807.56x = 2,127,028,566.48
  5. Step 5: Solve for x
    x = 2,127,028,566.48/57,807.56
  6. Step 6: Final answer
    x = 36,794.99

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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.