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Finding the Fourth Proportional to 30,248.74, 41,737.12 and 17,671.06

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Solution

The fourth proportional to 30,248.74, 41,737.12 and 17,671.06 is: 24,382.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,248.74 : 41,737.12 = 17,671.06 : x
  2. Step 2: Convert to fraction form
    30,248.74/41,737.12 = 17,671.06/x
  3. Step 3: Cross multiply
    30,248.74x = 41,737.12 × 17,671.06
  4. Step 4: Simplify right side
    30,248.74x = 737,539,151.75
  5. Step 5: Solve for x
    x = 737,539,151.75/30,248.74
  6. Step 6: Final answer
    x = 24,382.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.