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Finding the Fourth Proportional to 82,486.98, 113,825.06 and 48,496.58

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Solution

The fourth proportional to 82,486.98, 113,825.06 and 48,496.58 is: 66,921.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,486.98 : 113,825.06 = 48,496.58 : x
  2. Step 2: Convert to fraction form
    82,486.98/113,825.06 = 48,496.58/x
  3. Step 3: Cross multiply
    82,486.98x = 113,825.06 × 48,496.58
  4. Step 4: Simplify right side
    82,486.98x = 5,520,126,128.29
  5. Step 5: Solve for x
    x = 5,520,126,128.29/82,486.98
  6. Step 6: Final answer
    x = 66,921.18

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1.5x scale

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.