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Finding the Fourth Proportional to 82,186.97, 113,416.91 and 45,888.98

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Solution

The fourth proportional to 82,186.97, 113,416.91 and 45,888.98 is: 63,326.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,186.97 : 113,416.91 = 45,888.98 : x
  2. Step 2: Convert to fraction form
    82,186.97/113,416.91 = 45,888.98/x
  3. Step 3: Cross multiply
    82,186.97x = 113,416.91 × 45,888.98
  4. Step 4: Simplify right side
    82,186.97x = 5,204,586,314.65
  5. Step 5: Solve for x
    x = 5,204,586,314.65/82,186.97
  6. Step 6: Final answer
    x = 63,326.17

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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.