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Finding the Fourth Proportional to 38,542.04, 53,188.02 and 20,878.04

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Solution

The fourth proportional to 38,542.04, 53,188.02 and 20,878.04 is: 28,811.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,542.04 : 53,188.02 = 20,878.04 : x
  2. Step 2: Convert to fraction form
    38,542.04/53,188.02 = 20,878.04/x
  3. Step 3: Cross multiply
    38,542.04x = 53,188.02 × 20,878.04
  4. Step 4: Simplify right side
    38,542.04x = 1,110,461,609.08
  5. Step 5: Solve for x
    x = 1,110,461,609.08/38,542.04
  6. Step 6: Final answer
    x = 28,811.70

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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.