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Finding the Fourth Proportional to 75,151.32, 112,743.35 and 22,564.90

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Solution

The fourth proportional to 75,151.32, 112,743.35 and 22,564.90 is: 33,852.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,151.32 : 112,743.35 = 22,564.90 : x
  2. Step 2: Convert to fraction form
    75,151.32/112,743.35 = 22,564.90/x
  3. Step 3: Cross multiply
    75,151.32x = 112,743.35 × 22,564.90
  4. Step 4: Simplify right side
    75,151.32x = 2,544,042,418.42
  5. Step 5: Solve for x
    x = 2,544,042,418.42/75,151.32
  6. Step 6: Final answer
    x = 33,852.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.