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Finding the Fourth Proportional to 51,357.66, 77,076.66 and 26,396.70

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Solution

The fourth proportional to 51,357.66, 77,076.66 and 26,396.70 is: 39,615.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,357.66 : 77,076.66 = 26,396.70 : x
  2. Step 2: Convert to fraction form
    51,357.66/77,076.66 = 26,396.70/x
  3. Step 3: Cross multiply
    51,357.66x = 77,076.66 × 26,396.70
  4. Step 4: Simplify right side
    51,357.66x = 2,034,569,471.02
  5. Step 5: Solve for x
    x = 2,034,569,471.02/51,357.66
  6. Step 6: Final answer
    x = 39,615.70

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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.