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Finding the Fourth Proportional to 48,075.86, 66,331.17 and 27,656.86

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Solution

The fourth proportional to 48,075.86, 66,331.17 and 27,656.86 is: 38,158.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,075.86 : 66,331.17 = 27,656.86 : x
  2. Step 2: Convert to fraction form
    48,075.86/66,331.17 = 27,656.86/x
  3. Step 3: Cross multiply
    48,075.86x = 66,331.17 × 27,656.86
  4. Step 4: Simplify right side
    48,075.86x = 1,834,511,550.67
  5. Step 5: Solve for x
    x = 1,834,511,550.67/48,075.86
  6. Step 6: Final answer
    x = 38,158.69

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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.