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Finding the Fourth Proportional to 72,988.75, 109,483.13 and 17,584.75

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Solution

The fourth proportional to 72,988.75, 109,483.13 and 17,584.75 is: 26,377.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,988.75 : 109,483.13 = 17,584.75 : x
  2. Step 2: Convert to fraction form
    72,988.75/109,483.13 = 17,584.75/x
  3. Step 3: Cross multiply
    72,988.75x = 109,483.13 × 17,584.75
  4. Step 4: Simplify right side
    72,988.75x = 1,925,233,470.27
  5. Step 5: Solve for x
    x = 1,925,233,470.27/72,988.75
  6. Step 6: Final answer
    x = 26,377.13

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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.