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Finding the Fourth Proportional to 83,685.96, 125,531.30 and 24,521.67

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Solution

The fourth proportional to 83,685.96, 125,531.30 and 24,521.67 is: 36,783.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,685.96 : 125,531.30 = 24,521.67 : x
  2. Step 2: Convert to fraction form
    83,685.96/125,531.30 = 24,521.67/x
  3. Step 3: Cross multiply
    83,685.96x = 125,531.30 × 24,521.67
  4. Step 4: Simplify right side
    83,685.96x = 3,078,237,174.58
  5. Step 5: Solve for x
    x = 3,078,237,174.58/83,685.96
  6. Step 6: Final answer
    x = 36,783.20

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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.