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Finding the Fourth Proportional to 93,724.98, 140,588.01 and 38,320.98

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Solution

The fourth proportional to 93,724.98, 140,588.01 and 38,320.98 is: 57,481.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,724.98 : 140,588.01 = 38,320.98 : x
  2. Step 2: Convert to fraction form
    93,724.98/140,588.01 = 38,320.98/x
  3. Step 3: Cross multiply
    93,724.98x = 140,588.01 × 38,320.98
  4. Step 4: Simplify right side
    93,724.98x = 5,387,470,319.45
  5. Step 5: Solve for x
    x = 5,387,470,319.45/93,724.98
  6. Step 6: Final answer
    x = 57,481.69

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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.