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Finding the Fourth Proportional to 75,205.72, 103,780.80 and 44,973.22

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Solution

The fourth proportional to 75,205.72, 103,780.80 and 44,973.22 is: 62,061.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,205.72 : 103,780.80 = 44,973.22 : x
  2. Step 2: Convert to fraction form
    75,205.72/103,780.80 = 44,973.22/x
  3. Step 3: Cross multiply
    75,205.72x = 103,780.80 × 44,973.22
  4. Step 4: Simplify right side
    75,205.72x = 4,667,356,750.18
  5. Step 5: Solve for x
    x = 4,667,356,750.18/75,205.72
  6. Step 6: Final answer
    x = 62,061.19

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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.