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Finding the Fourth Proportional to 56,977.92, 78,644.84 and 32,781.66

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Solution

The fourth proportional to 56,977.92, 78,644.84 and 32,781.66 is: 45,247.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,977.92 : 78,644.84 = 32,781.66 : x
  2. Step 2: Convert to fraction form
    56,977.92/78,644.84 = 32,781.66/x
  3. Step 3: Cross multiply
    56,977.92x = 78,644.84 × 32,781.66
  4. Step 4: Simplify right side
    56,977.92x = 2,578,108,405.63
  5. Step 5: Solve for x
    x = 2,578,108,405.63/56,977.92
  6. Step 6: Final answer
    x = 45,247.50

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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.