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Finding the Fourth Proportional to 32,078.08, 48,117.12 and 15,648

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Solution

The fourth proportional to 32,078.08, 48,117.12 and 15,648 is: 23,472

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,078.08 : 48,117.12 = 15,648 : x
  2. Step 2: Convert to fraction form
    32,078.08/48,117.12 = 15,648/x
  3. Step 3: Cross multiply
    32,078.08x = 48,117.12 × 15,648
  4. Step 4: Simplify right side
    32,078.08x = 752,936,693.76
  5. Step 5: Solve for x
    x = 752,936,693.76/32,078.08
  6. Step 6: Final answer
    x = 23,472

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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.