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Finding the Fourth Proportional to 107,590.26, 161,383.92 and 48,384

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Solution

The fourth proportional to 107,590.26, 161,383.92 and 48,384 is: 72,575.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,590.26 : 161,383.92 = 48,384 : x
  2. Step 2: Convert to fraction form
    107,590.26/161,383.92 = 48,384/x
  3. Step 3: Cross multiply
    107,590.26x = 161,383.92 × 48,384
  4. Step 4: Simplify right side
    107,590.26x = 7,808,399,585.28
  5. Step 5: Solve for x
    x = 7,808,399,585.28/107,590.26
  6. Step 6: Final answer
    x = 72,575.34

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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.