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Finding the Fourth Proportional to 48,565.78, 72,838.85 and 16,977.20

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Solution

The fourth proportional to 48,565.78, 72,838.85 and 16,977.20 is: 25,462.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,565.78 : 72,838.85 = 16,977.20 : x
  2. Step 2: Convert to fraction form
    48,565.78/72,838.85 = 16,977.20/x
  3. Step 3: Cross multiply
    48,565.78x = 72,838.85 × 16,977.20
  4. Step 4: Simplify right side
    48,565.78x = 1,236,599,275.14
  5. Step 5: Solve for x
    x = 1,236,599,275.14/48,565.78
  6. Step 6: Final answer
    x = 25,462.36

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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.