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Finding the Fourth Proportional to 59,452.38, 82,017.36 and 47,532.42

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Solution

The fourth proportional to 59,452.38, 82,017.36 and 47,532.42 is: 65,573.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,452.38 : 82,017.36 = 47,532.42 : x
  2. Step 2: Convert to fraction form
    59,452.38/82,017.36 = 47,532.42/x
  3. Step 3: Cross multiply
    59,452.38x = 82,017.36 × 47,532.42
  4. Step 4: Simplify right side
    59,452.38x = 3,898,483,602.81
  5. Step 5: Solve for x
    x = 3,898,483,602.81/59,452.38
  6. Step 6: Final answer
    x = 65,573.21

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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.