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Finding the Fourth Proportional to 51,773.76, 77,660.84 and 15,750.56

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Solution

The fourth proportional to 51,773.76, 77,660.84 and 15,750.56 is: 23,625.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,773.76 : 77,660.84 = 15,750.56 : x
  2. Step 2: Convert to fraction form
    51,773.76/77,660.84 = 15,750.56/x
  3. Step 3: Cross multiply
    51,773.76x = 77,660.84 × 15,750.56
  4. Step 4: Simplify right side
    51,773.76x = 1,223,201,641.32
  5. Step 5: Solve for x
    x = 1,223,201,641.32/51,773.76
  6. Step 6: Final answer
    x = 23,625.90

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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.