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Finding the Fourth Proportional to 27,041.88, 40,566.72 and 8,323.52

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Solution

The fourth proportional to 27,041.88, 40,566.72 and 8,323.52 is: 12,486.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,041.88 : 40,566.72 = 8,323.52 : x
  2. Step 2: Convert to fraction form
    27,041.88/40,566.72 = 8,323.52/x
  3. Step 3: Cross multiply
    27,041.88x = 40,566.72 × 8,323.52
  4. Step 4: Simplify right side
    27,041.88x = 337,657,905.25
  5. Step 5: Solve for x
    x = 337,657,905.25/27,041.88
  6. Step 6: Final answer
    x = 12,486.48

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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.