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Finding the Fourth Proportional to 51,822.87, 77,750.64 and 39,402.33

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Solution

The fourth proportional to 51,822.87, 77,750.64 and 39,402.33 is: 59,115.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,822.87 : 77,750.64 = 39,402.33 : x
  2. Step 2: Convert to fraction form
    51,822.87/77,750.64 = 39,402.33/x
  3. Step 3: Cross multiply
    51,822.87x = 77,750.64 × 39,402.33
  4. Step 4: Simplify right side
    51,822.87x = 3,063,556,374.99
  5. Step 5: Solve for x
    x = 3,063,556,374.99/51,822.87
  6. Step 6: Final answer
    x = 59,115.91

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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.