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Finding the Fourth Proportional to 53,565, 80,397.12 and 27,289.32

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Solution

The fourth proportional to 53,565, 80,397.12 and 27,289.32 is: 40,959.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,565 : 80,397.12 = 27,289.32 : x
  2. Step 2: Convert to fraction form
    53,565/80,397.12 = 27,289.32/x
  3. Step 3: Cross multiply
    53,565x = 80,397.12 × 27,289.32
  4. Step 4: Simplify right side
    53,565x = 2,193,982,734.76
  5. Step 5: Solve for x
    x = 2,193,982,734.76/53,565
  6. Step 6: Final answer
    x = 40,959.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.