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Finding the Fourth Proportional to 38,275.98, 52,802.42 and 32,961.58

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Solution

The fourth proportional to 38,275.98, 52,802.42 and 32,961.58 is: 45,471.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,275.98 : 52,802.42 = 32,961.58 : x
  2. Step 2: Convert to fraction form
    38,275.98/52,802.42 = 32,961.58/x
  3. Step 3: Cross multiply
    38,275.98x = 52,802.42 × 32,961.58
  4. Step 4: Simplify right side
    38,275.98x = 1,740,451,191.02
  5. Step 5: Solve for x
    x = 1,740,451,191.02/38,275.98
  6. Step 6: Final answer
    x = 45,471.11

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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.