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Finding the Fourth Proportional to 38,646.96, 53,323.20 and 24,494.64

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Solution

The fourth proportional to 38,646.96, 53,323.20 and 24,494.64 is: 33,796.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,646.96 : 53,323.20 = 24,494.64 : x
  2. Step 2: Convert to fraction form
    38,646.96/53,323.20 = 24,494.64/x
  3. Step 3: Cross multiply
    38,646.96x = 53,323.20 × 24,494.64
  4. Step 4: Simplify right side
    38,646.96x = 1,306,132,587.65
  5. Step 5: Solve for x
    x = 1,306,132,587.65/38,646.96
  6. Step 6: Final answer
    x = 33,796.52

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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.