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Finding the Fourth Proportional to 96,106.49, 144,162.01 and 29,547.22

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Solution

The fourth proportional to 96,106.49, 144,162.01 and 29,547.22 is: 44,321.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,106.49 : 144,162.01 = 29,547.22 : x
  2. Step 2: Convert to fraction form
    96,106.49/144,162.01 = 29,547.22/x
  3. Step 3: Cross multiply
    96,106.49x = 144,162.01 × 29,547.22
  4. Step 4: Simplify right side
    96,106.49x = 4,259,586,625.11
  5. Step 5: Solve for x
    x = 4,259,586,625.11/96,106.49
  6. Step 6: Final answer
    x = 44,321.53

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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.