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Finding the Fourth Proportional to 92,044.80, 137,872.80 and 76,492.80

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Solution

The fourth proportional to 92,044.80, 137,872.80 and 76,492.80 is: 114,577.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,044.80 : 137,872.80 = 76,492.80 : x
  2. Step 2: Convert to fraction form
    92,044.80/137,872.80 = 76,492.80/x
  3. Step 3: Cross multiply
    92,044.80x = 137,872.80 × 76,492.80
  4. Step 4: Simplify right side
    92,044.80x = 10,546,276,515.84
  5. Step 5: Solve for x
    x = 10,546,276,515.84/92,044.80
  6. Step 6: Final answer
    x = 114,577.65

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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.