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Finding the Fourth Proportional to 75,202.89, 103,780.01 and 44,989.47

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Solution

The fourth proportional to 75,202.89, 103,780.01 and 44,989.47 is: 62,085.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,202.89 : 103,780.01 = 44,989.47 : x
  2. Step 2: Convert to fraction form
    75,202.89/103,780.01 = 44,989.47/x
  3. Step 3: Cross multiply
    75,202.89x = 103,780.01 × 44,989.47
  4. Step 4: Simplify right side
    75,202.89x = 4,669,007,646.49
  5. Step 5: Solve for x
    x = 4,669,007,646.49/75,202.89
  6. Step 6: Final answer
    x = 62,085.48

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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.