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Finding the Fourth Proportional to 51,883.87, 77,752.81 and 29,663.95

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Solution

The fourth proportional to 51,883.87, 77,752.81 and 29,663.95 is: 44,454.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,883.87 : 77,752.81 = 29,663.95 : x
  2. Step 2: Convert to fraction form
    51,883.87/77,752.81 = 29,663.95/x
  3. Step 3: Cross multiply
    51,883.87x = 77,752.81 × 29,663.95
  4. Step 4: Simplify right side
    51,883.87x = 2,306,455,468.20
  5. Step 5: Solve for x
    x = 2,306,455,468.20/51,883.87
  6. Step 6: Final answer
    x = 44,454.19

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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.