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Finding the Fourth Proportional to 38,412.75, 53,002.78 and 28,349.85

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Solution

The fourth proportional to 38,412.75, 53,002.78 and 28,349.85 is: 39,117.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,412.75 : 53,002.78 = 28,349.85 : x
  2. Step 2: Convert to fraction form
    38,412.75/53,002.78 = 28,349.85/x
  3. Step 3: Cross multiply
    38,412.75x = 53,002.78 × 28,349.85
  4. Step 4: Simplify right side
    38,412.75x = 1,502,620,862.58
  5. Step 5: Solve for x
    x = 1,502,620,862.58/38,412.75
  6. Step 6: Final answer
    x = 39,117.76

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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.