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Finding the Fourth Proportional to 57,291.48, 85,986.42 and 32,356.02

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Solution

The fourth proportional to 57,291.48, 85,986.42 and 32,356.02 is: 48,561.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,291.48 : 85,986.42 = 32,356.02 : x
  2. Step 2: Convert to fraction form
    57,291.48/85,986.42 = 32,356.02/x
  3. Step 3: Cross multiply
    57,291.48x = 85,986.42 × 32,356.02
  4. Step 4: Simplify right side
    57,291.48x = 2,782,178,325.25
  5. Step 5: Solve for x
    x = 2,782,178,325.25/57,291.48
  6. Step 6: Final answer
    x = 48,561.82

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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.