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Finding the Fourth Proportional to 70,874.80, 97,792.80 and 53,874.52

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Solution

The fourth proportional to 70,874.80, 97,792.80 and 53,874.52 is: 74,335.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,874.80 : 97,792.80 = 53,874.52 : x
  2. Step 2: Convert to fraction form
    70,874.80/97,792.80 = 53,874.52/x
  3. Step 3: Cross multiply
    70,874.80x = 97,792.80 × 53,874.52
  4. Step 4: Simplify right side
    70,874.80x = 5,268,540,159.46
  5. Step 5: Solve for x
    x = 5,268,540,159.46/70,874.80
  6. Step 6: Final answer
    x = 74,335.87

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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.