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Finding the Fourth Proportional to 32,391.52, 48,582 and 9,012.64

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Solution

The fourth proportional to 32,391.52, 48,582 and 9,012.64 is: 13,517.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,391.52 : 48,582 = 9,012.64 : x
  2. Step 2: Convert to fraction form
    32,391.52/48,582 = 9,012.64/x
  3. Step 3: Cross multiply
    32,391.52x = 48,582 × 9,012.64
  4. Step 4: Simplify right side
    32,391.52x = 437,852,076.48
  5. Step 5: Solve for x
    x = 437,852,076.48/32,391.52
  6. Step 6: Final answer
    x = 13,517.49

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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.