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Finding the Fourth Proportional to 93,451, 140,234.82 and 38,047

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Solution

The fourth proportional to 93,451, 140,234.82 and 38,047 is: 57,094.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,451 : 140,234.82 = 38,047 : x
  2. Step 2: Convert to fraction form
    93,451/140,234.82 = 38,047/x
  3. Step 3: Cross multiply
    93,451x = 140,234.82 × 38,047
  4. Step 4: Simplify right side
    93,451x = 5,335,514,196.54
  5. Step 5: Solve for x
    x = 5,335,514,196.54/93,451
  6. Step 6: Final answer
    x = 57,094.24

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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.