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Finding the Fourth Proportional to 38,323.86, 52,871.92 and 28,276.42

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Solution

The fourth proportional to 38,323.86, 52,871.92 and 28,276.42 is: 39,010.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,323.86 : 52,871.92 = 28,276.42 : x
  2. Step 2: Convert to fraction form
    38,323.86/52,871.92 = 28,276.42/x
  3. Step 3: Cross multiply
    38,323.86x = 52,871.92 × 28,276.42
  4. Step 4: Simplify right side
    38,323.86x = 1,495,028,616.13
  5. Step 5: Solve for x
    x = 1,495,028,616.13/38,323.86
  6. Step 6: Final answer
    x = 39,010.39

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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.