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Finding the Fourth Proportional to 83,618.76, 125,440.76 and 24,447

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Solution

The fourth proportional to 83,618.76, 125,440.76 and 24,447 is: 36,674.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,618.76 : 125,440.76 = 24,447 : x
  2. Step 2: Convert to fraction form
    83,618.76/125,440.76 = 24,447/x
  3. Step 3: Cross multiply
    83,618.76x = 125,440.76 × 24,447
  4. Step 4: Simplify right side
    83,618.76x = 3,066,650,259.72
  5. Step 5: Solve for x
    x = 3,066,650,259.72/83,618.76
  6. Step 6: Final answer
    x = 36,674.19

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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.