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Finding the Fourth Proportional to 75,147.34, 112,738.29 and 22,557.82

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Solution

The fourth proportional to 75,147.34, 112,738.29 and 22,557.82 is: 33,841.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,147.34 : 112,738.29 = 22,557.82 : x
  2. Step 2: Convert to fraction form
    75,147.34/112,738.29 = 22,557.82/x
  3. Step 3: Cross multiply
    75,147.34x = 112,738.29 × 22,557.82
  4. Step 4: Simplify right side
    75,147.34x = 2,543,130,052.93
  5. Step 5: Solve for x
    x = 2,543,130,052.93/75,147.34
  6. Step 6: Final answer
    x = 33,841.92

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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.