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Finding the Fourth Proportional to 75,132.66, 103,675.89 and 44,911.98

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Solution

The fourth proportional to 75,132.66, 103,675.89 and 44,911.98 is: 61,974.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,132.66 : 103,675.89 = 44,911.98 : x
  2. Step 2: Convert to fraction form
    75,132.66/103,675.89 = 44,911.98/x
  3. Step 3: Cross multiply
    75,132.66x = 103,675.89 × 44,911.98
  4. Step 4: Simplify right side
    75,132.66x = 4,656,289,498.16
  5. Step 5: Solve for x
    x = 4,656,289,498.16/75,132.66
  6. Step 6: Final answer
    x = 61,974.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.