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Finding the Fourth Proportional to 51,799.68, 77,642.52 and 29,564.52

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Solution

The fourth proportional to 51,799.68, 77,642.52 and 29,564.52 is: 44,314.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,799.68 : 77,642.52 = 29,564.52 : x
  2. Step 2: Convert to fraction form
    51,799.68/77,642.52 = 29,564.52/x
  3. Step 3: Cross multiply
    51,799.68x = 77,642.52 × 29,564.52
  4. Step 4: Simplify right side
    51,799.68x = 2,295,463,835.39
  5. Step 5: Solve for x
    x = 2,295,463,835.39/51,799.68
  6. Step 6: Final answer
    x = 44,314.25

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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.