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Finding the Fourth Proportional to 83,184.96, 124,706.72 and 36,402.88

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Solution

The fourth proportional to 83,184.96, 124,706.72 and 36,402.88 is: 54,573.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,184.96 : 124,706.72 = 36,402.88 : x
  2. Step 2: Convert to fraction form
    83,184.96/124,706.72 = 36,402.88/x
  3. Step 3: Cross multiply
    83,184.96x = 124,706.72 × 36,402.88
  4. Step 4: Simplify right side
    83,184.96x = 4,539,683,763.35
  5. Step 5: Solve for x
    x = 4,539,683,763.35/83,184.96
  6. Step 6: Final answer
    x = 54,573.37

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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.