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Finding the Fourth Proportional to 38,594.48, 53,254.68 and 21,827.12

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Solution

The fourth proportional to 38,594.48, 53,254.68 and 21,827.12 is: 30,118.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,594.48 : 53,254.68 = 21,827.12 : x
  2. Step 2: Convert to fraction form
    38,594.48/53,254.68 = 21,827.12/x
  3. Step 3: Cross multiply
    38,594.48x = 53,254.68 × 21,827.12
  4. Step 4: Simplify right side
    38,594.48x = 1,162,396,290.92
  5. Step 5: Solve for x
    x = 1,162,396,290.92/38,594.48
  6. Step 6: Final answer
    x = 30,118.20

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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.