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Finding the Fourth Proportional to 51,950.50, 71,691.71 and 28,077.18

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Solution

The fourth proportional to 51,950.50, 71,691.71 and 28,077.18 is: 38,746.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,950.50 : 71,691.71 = 28,077.18 : x
  2. Step 2: Convert to fraction form
    51,950.50/71,691.71 = 28,077.18/x
  3. Step 3: Cross multiply
    51,950.50x = 71,691.71 × 28,077.18
  4. Step 4: Simplify right side
    51,950.50x = 2,012,900,981.18
  5. Step 5: Solve for x
    x = 2,012,900,981.18/51,950.50
  6. Step 6: Final answer
    x = 38,746.51

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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.