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Finding the Fourth Proportional to 96,118.44, 144,191.40 and 29,564.16

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Solution

The fourth proportional to 96,118.44, 144,191.40 and 29,564.16 is: 44,350.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,118.44 : 144,191.40 = 29,564.16 : x
  2. Step 2: Convert to fraction form
    96,118.44/144,191.40 = 29,564.16/x
  3. Step 3: Cross multiply
    96,118.44x = 144,191.40 × 29,564.16
  4. Step 4: Simplify right side
    96,118.44x = 4,262,897,620.22
  5. Step 5: Solve for x
    x = 4,262,897,620.22/96,118.44
  6. Step 6: Final answer
    x = 44,350.47

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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.