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Finding the Fourth Proportional to 51,758.64, 77,709.05 and 26,815.91

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Solution

The fourth proportional to 51,758.64, 77,709.05 and 26,815.91 is: 40,260.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,758.64 : 77,709.05 = 26,815.91 : x
  2. Step 2: Convert to fraction form
    51,758.64/77,709.05 = 26,815.91/x
  3. Step 3: Cross multiply
    51,758.64x = 77,709.05 × 26,815.91
  4. Step 4: Simplify right side
    51,758.64x = 2,083,838,368.36
  5. Step 5: Solve for x
    x = 2,083,838,368.36/51,758.64
  6. Step 6: Final answer
    x = 40,260.69

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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.