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Finding the Fourth Proportional to 75,888.78, 113,797.71 and 44,307.96

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Solution

The fourth proportional to 75,888.78, 113,797.71 and 44,307.96 is: 66,441.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,888.78 : 113,797.71 = 44,307.96 : x
  2. Step 2: Convert to fraction form
    75,888.78/113,797.71 = 44,307.96/x
  3. Step 3: Cross multiply
    75,888.78x = 113,797.71 × 44,307.96
  4. Step 4: Simplify right side
    75,888.78x = 5,042,144,382.77
  5. Step 5: Solve for x
    x = 5,042,144,382.77/75,888.78
  6. Step 6: Final answer
    x = 66,441.24

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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.