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Finding the Fourth Proportional to 75,144.98, 112,758.95 and 41,883.77

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Solution

The fourth proportional to 75,144.98, 112,758.95 and 41,883.77 is: 62,848.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,144.98 : 112,758.95 = 41,883.77 : x
  2. Step 2: Convert to fraction form
    75,144.98/112,758.95 = 41,883.77/x
  3. Step 3: Cross multiply
    75,144.98x = 112,758.95 × 41,883.77
  4. Step 4: Simplify right side
    75,144.98x = 4,722,769,927.24
  5. Step 5: Solve for x
    x = 4,722,769,927.24/75,144.98
  6. Step 6: Final answer
    x = 62,848.77

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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.