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Finding the Fourth Proportional to 82,605.84, 123,853.14 and 49,349.13

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Solution

The fourth proportional to 82,605.84, 123,853.14 and 49,349.13 is: 73,990.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,605.84 : 123,853.14 = 49,349.13 : x
  2. Step 2: Convert to fraction form
    82,605.84/123,853.14 = 49,349.13/x
  3. Step 3: Cross multiply
    82,605.84x = 123,853.14 × 49,349.13
  4. Step 4: Simplify right side
    82,605.84x = 6,112,044,706.77
  5. Step 5: Solve for x
    x = 6,112,044,706.77/82,605.84
  6. Step 6: Final answer
    x = 73,990.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.