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Finding the Fourth Proportional to 32,084.52, 48,305.13 and 27,798

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Solution

The fourth proportional to 32,084.52, 48,305.13 and 27,798 is: 41,851.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,084.52 : 48,305.13 = 27,798 : x
  2. Step 2: Convert to fraction form
    32,084.52/48,305.13 = 27,798/x
  3. Step 3: Cross multiply
    32,084.52x = 48,305.13 × 27,798
  4. Step 4: Simplify right side
    32,084.52x = 1,342,786,003.74
  5. Step 5: Solve for x
    x = 1,342,786,003.74/32,084.52
  6. Step 6: Final answer
    x = 41,851.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.