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Finding the Fourth Proportional to 60,275.70, 83,163.21 and 34,780.02

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Solution

The fourth proportional to 60,275.70, 83,163.21 and 34,780.02 is: 47,986.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,275.70 : 83,163.21 = 34,780.02 : x
  2. Step 2: Convert to fraction form
    60,275.70/83,163.21 = 34,780.02/x
  3. Step 3: Cross multiply
    60,275.70x = 83,163.21 × 34,780.02
  4. Step 4: Simplify right side
    60,275.70x = 2,892,418,107.06
  5. Step 5: Solve for x
    x = 2,892,418,107.06/60,275.70
  6. Step 6: Final answer
    x = 47,986.47

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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.