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Finding the Fourth Proportional to 32,076, 48,139.92 and 16,498.08

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Solution

The fourth proportional to 32,076, 48,139.92 and 16,498.08 is: 24,760.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,076 : 48,139.92 = 16,498.08 : x
  2. Step 2: Convert to fraction form
    32,076/48,139.92 = 16,498.08/x
  3. Step 3: Cross multiply
    32,076x = 48,139.92 × 16,498.08
  4. Step 4: Simplify right side
    32,076x = 794,216,251.35
  5. Step 5: Solve for x
    x = 794,216,251.35/32,076
  6. Step 6: Final answer
    x = 24,760.45

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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.