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Finding the Fourth Proportional to 32,228.52, 48,356.64 and 17,448

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Solution

The fourth proportional to 32,228.52, 48,356.64 and 17,448 is: 26,179.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,228.52 : 48,356.64 = 17,448 : x
  2. Step 2: Convert to fraction form
    32,228.52/48,356.64 = 17,448/x
  3. Step 3: Cross multiply
    32,228.52x = 48,356.64 × 17,448
  4. Step 4: Simplify right side
    32,228.52x = 843,726,654.72
  5. Step 5: Solve for x
    x = 843,726,654.72/32,228.52
  6. Step 6: Final answer
    x = 26,179.50

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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.