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Finding the Fourth Proportional to 70,953.18, 97,863.91 and 48,251.82

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Solution

The fourth proportional to 70,953.18, 97,863.91 and 48,251.82 is: 66,552.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,953.18 : 97,863.91 = 48,251.82 : x
  2. Step 2: Convert to fraction form
    70,953.18/97,863.91 = 48,251.82/x
  3. Step 3: Cross multiply
    70,953.18x = 97,863.91 × 48,251.82
  4. Step 4: Simplify right side
    70,953.18x = 4,722,111,769.82
  5. Step 5: Solve for x
    x = 4,722,111,769.82/70,953.18
  6. Step 6: Final answer
    x = 66,552.50

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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.