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Finding the Fourth Proportional to 55,416.56, 76,478.75 and 31,543.22

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Solution

The fourth proportional to 55,416.56, 76,478.75 and 31,543.22 is: 43,531.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,416.56 : 76,478.75 = 31,543.22 : x
  2. Step 2: Convert to fraction form
    55,416.56/76,478.75 = 31,543.22/x
  3. Step 3: Cross multiply
    55,416.56x = 76,478.75 × 31,543.22
  4. Step 4: Simplify right side
    55,416.56x = 2,412,385,496.47
  5. Step 5: Solve for x
    x = 2,412,385,496.47/55,416.56
  6. Step 6: Final answer
    x = 43,531.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.