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Finding the Fourth Proportional to 57,233.48, 78,975.80 and 32,082.44

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Solution

The fourth proportional to 57,233.48, 78,975.80 and 32,082.44 is: 44,270.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,233.48 : 78,975.80 = 32,082.44 : x
  2. Step 2: Convert to fraction form
    57,233.48/78,975.80 = 32,082.44/x
  3. Step 3: Cross multiply
    57,233.48x = 78,975.80 × 32,082.44
  4. Step 4: Simplify right side
    57,233.48x = 2,533,736,364.95
  5. Step 5: Solve for x
    x = 2,533,736,364.95/57,233.48
  6. Step 6: Final answer
    x = 44,270.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.