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Finding the Fourth Proportional to 49,648.61, 74,478.39 and 14,591

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Solution

The fourth proportional to 49,648.61, 74,478.39 and 14,591 is: 21,888.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,648.61 : 74,478.39 = 14,591 : x
  2. Step 2: Convert to fraction form
    49,648.61/74,478.39 = 14,591/x
  3. Step 3: Cross multiply
    49,648.61x = 74,478.39 × 14,591
  4. Step 4: Simplify right side
    49,648.61x = 1,086,714,188.49
  5. Step 5: Solve for x
    x = 1,086,714,188.49/49,648.61
  6. Step 6: Final answer
    x = 21,888.11

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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.