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Finding the Fourth Proportional to 96,242.16, 144,382.38 and 29,679.40

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Solution

The fourth proportional to 96,242.16, 144,382.38 and 29,679.40 is: 44,525.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,242.16 : 144,382.38 = 29,679.40 : x
  2. Step 2: Convert to fraction form
    96,242.16/144,382.38 = 29,679.40/x
  3. Step 3: Cross multiply
    96,242.16x = 144,382.38 × 29,679.40
  4. Step 4: Simplify right side
    96,242.16x = 4,285,182,408.97
  5. Step 5: Solve for x
    x = 4,285,182,408.97/96,242.16
  6. Step 6: Final answer
    x = 44,525.00

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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.