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Finding the Fourth Proportional to 56,874.84, 78,490.62 and 32,992.80

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Solution

The fourth proportional to 56,874.84, 78,490.62 and 32,992.80 is: 45,532.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,874.84 : 78,490.62 = 32,992.80 : x
  2. Step 2: Convert to fraction form
    56,874.84/78,490.62 = 32,992.80/x
  3. Step 3: Cross multiply
    56,874.84x = 78,490.62 × 32,992.80
  4. Step 4: Simplify right side
    56,874.84x = 2,589,625,327.54
  5. Step 5: Solve for x
    x = 2,589,625,327.54/56,874.84
  6. Step 6: Final answer
    x = 45,532.00

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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.