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Finding the Fourth Proportional to 96,146.16, 144,239.30 and 32,963.74

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Solution

The fourth proportional to 96,146.16, 144,239.30 and 32,963.74 is: 49,452.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,146.16 : 144,239.30 = 32,963.74 : x
  2. Step 2: Convert to fraction form
    96,146.16/144,239.30 = 32,963.74/x
  3. Step 3: Cross multiply
    96,146.16x = 144,239.30 × 32,963.74
  4. Step 4: Simplify right side
    96,146.16x = 4,754,666,782.98
  5. Step 5: Solve for x
    x = 4,754,666,782.98/96,146.16
  6. Step 6: Final answer
    x = 49,452.49

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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.