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Finding the Fourth Proportional to 93,768, 140,651.84 and 38,363.84

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Solution

The fourth proportional to 93,768, 140,651.84 and 38,363.84 is: 57,545.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,768 : 140,651.84 = 38,363.84 : x
  2. Step 2: Convert to fraction form
    93,768/140,651.84 = 38,363.84/x
  3. Step 3: Cross multiply
    93,768x = 140,651.84 × 38,363.84
  4. Step 4: Simplify right side
    93,768x = 5,395,944,685.47
  5. Step 5: Solve for x
    x = 5,395,944,685.47/93,768
  6. Step 6: Final answer
    x = 57,545.69

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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.