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Finding the Fourth Proportional to 96,993.40, 145,489.50 and 24,946.04

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Solution

The fourth proportional to 96,993.40, 145,489.50 and 24,946.04 is: 37,418.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,993.40 : 145,489.50 = 24,946.04 : x
  2. Step 2: Convert to fraction form
    96,993.40/145,489.50 = 24,946.04/x
  3. Step 3: Cross multiply
    96,993.40x = 145,489.50 × 24,946.04
  4. Step 4: Simplify right side
    96,993.40x = 3,629,386,886.58
  5. Step 5: Solve for x
    x = 3,629,386,886.58/96,993.40
  6. Step 6: Final answer
    x = 37,418.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.