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Finding the Fourth Proportional to 82,543.98, 123,809.91 and 26,369.00

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Solution

The fourth proportional to 82,543.98, 123,809.91 and 26,369.00 is: 39,551.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,543.98 : 123,809.91 = 26,369.00 : x
  2. Step 2: Convert to fraction form
    82,543.98/123,809.91 = 26,369.00/x
  3. Step 3: Cross multiply
    82,543.98x = 123,809.91 × 26,369.00
  4. Step 4: Simplify right side
    82,543.98x = 3,264,743,925.20
  5. Step 5: Solve for x
    x = 3,264,743,925.20/82,543.98
  6. Step 6: Final answer
    x = 39,551.57

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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.