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Finding the Fourth Proportional to 52,566.78, 78,850.98 and 17,506.47

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Solution

The fourth proportional to 52,566.78, 78,850.98 and 17,506.47 is: 26,259.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,566.78 : 78,850.98 = 17,506.47 : x
  2. Step 2: Convert to fraction form
    52,566.78/78,850.98 = 17,506.47/x
  3. Step 3: Cross multiply
    52,566.78x = 78,850.98 × 17,506.47
  4. Step 4: Simplify right side
    52,566.78x = 1,380,402,315.84
  5. Step 5: Solve for x
    x = 1,380,402,315.84/52,566.78
  6. Step 6: Final answer
    x = 26,259.97

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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.