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Finding the Fourth Proportional to 70,486.92, 97,257.83 and 40,282.16

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Solution

The fourth proportional to 70,486.92, 97,257.83 and 40,282.16 is: 55,581.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,486.92 : 97,257.83 = 40,282.16 : x
  2. Step 2: Convert to fraction form
    70,486.92/97,257.83 = 40,282.16/x
  3. Step 3: Cross multiply
    70,486.92x = 97,257.83 × 40,282.16
  4. Step 4: Simplify right side
    70,486.92x = 3,917,754,781.61
  5. Step 5: Solve for x
    x = 3,917,754,781.61/70,486.92
  6. Step 6: Final answer
    x = 55,581.30

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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.