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Finding the Fourth Proportional to 56,471.66, 77,934.84 and 32,276.18

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Solution

The fourth proportional to 56,471.66, 77,934.84 and 32,276.18 is: 44,543.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,471.66 : 77,934.84 = 32,276.18 : x
  2. Step 2: Convert to fraction form
    56,471.66/77,934.84 = 32,276.18/x
  3. Step 3: Cross multiply
    56,471.66x = 77,934.84 × 32,276.18
  4. Step 4: Simplify right side
    56,471.66x = 2,515,439,118.95
  5. Step 5: Solve for x
    x = 2,515,439,118.95/56,471.66
  6. Step 6: Final answer
    x = 44,543.39

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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.