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Finding the Fourth Proportional to 80,051.14, 119,978.29 and 44,916.98

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Solution

The fourth proportional to 80,051.14, 119,978.29 and 44,916.98 is: 67,320.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,051.14 : 119,978.29 = 44,916.98 : x
  2. Step 2: Convert to fraction form
    80,051.14/119,978.29 = 44,916.98/x
  3. Step 3: Cross multiply
    80,051.14x = 119,978.29 × 44,916.98
  4. Step 4: Simplify right side
    80,051.14x = 5,389,062,640.02
  5. Step 5: Solve for x
    x = 5,389,062,640.02/80,051.14
  6. Step 6: Final answer
    x = 67,320.25

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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.