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Finding the Fourth Proportional to 96,101.68, 144,166.30 and 29,547.40

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Solution

The fourth proportional to 96,101.68, 144,166.30 and 29,547.40 is: 44,325.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,101.68 : 144,166.30 = 29,547.40 : x
  2. Step 2: Convert to fraction form
    96,101.68/144,166.30 = 29,547.40/x
  3. Step 3: Cross multiply
    96,101.68x = 144,166.30 × 29,547.40
  4. Step 4: Simplify right side
    96,101.68x = 4,259,739,332.62
  5. Step 5: Solve for x
    x = 4,259,739,332.62/96,101.68
  6. Step 6: Final answer
    x = 44,325.34

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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.