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Finding the Fourth Proportional to 96,512.61, 144,768.47 and 24,465.54

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Solution

The fourth proportional to 96,512.61, 144,768.47 and 24,465.54 is: 36,698.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,512.61 : 144,768.47 = 24,465.54 : x
  2. Step 2: Convert to fraction form
    96,512.61/144,768.47 = 24,465.54/x
  3. Step 3: Cross multiply
    96,512.61x = 144,768.47 × 24,465.54
  4. Step 4: Simplify right side
    96,512.61x = 3,541,839,214.08
  5. Step 5: Solve for x
    x = 3,541,839,214.08/96,512.61
  6. Step 6: Final answer
    x = 36,698.20

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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.