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Finding the Fourth Proportional to 57,632.64, 86,389.02 and 24,324.90

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Solution

The fourth proportional to 57,632.64, 86,389.02 and 24,324.90 is: 36,462.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,632.64 : 86,389.02 = 24,324.90 : x
  2. Step 2: Convert to fraction form
    57,632.64/86,389.02 = 24,324.90/x
  3. Step 3: Cross multiply
    57,632.64x = 86,389.02 × 24,324.90
  4. Step 4: Simplify right side
    57,632.64x = 2,101,404,272.60
  5. Step 5: Solve for x
    x = 2,101,404,272.60/57,632.64
  6. Step 6: Final answer
    x = 36,462.05

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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.