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Finding the Fourth Proportional to 59,649.12, 89,418.06 and 20,178.78

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Solution

The fourth proportional to 59,649.12, 89,418.06 and 20,178.78 is: 30,249.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,649.12 : 89,418.06 = 20,178.78 : x
  2. Step 2: Convert to fraction form
    59,649.12/89,418.06 = 20,178.78/x
  3. Step 3: Cross multiply
    59,649.12x = 89,418.06 × 20,178.78
  4. Step 4: Simplify right side
    59,649.12x = 1,804,347,360.77
  5. Step 5: Solve for x
    x = 1,804,347,360.77/59,649.12
  6. Step 6: Final answer
    x = 30,249.35

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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.