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Finding the Fourth Proportional to 38,924.80, 53,728.32 and 23,822.08

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Solution

The fourth proportional to 38,924.80, 53,728.32 and 23,822.08 is: 32,881.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,924.80 : 53,728.32 = 23,822.08 : x
  2. Step 2: Convert to fraction form
    38,924.80/53,728.32 = 23,822.08/x
  3. Step 3: Cross multiply
    38,924.80x = 53,728.32 × 23,822.08
  4. Step 4: Simplify right side
    38,924.80x = 1,279,920,337.31
  5. Step 5: Solve for x
    x = 1,279,920,337.31/38,924.80
  6. Step 6: Final answer
    x = 32,881.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.