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Finding the Fourth Proportional to 56,995.50, 78,653.82 and 31,845

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Solution

The fourth proportional to 56,995.50, 78,653.82 and 31,845 is: 43,946.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,995.50 : 78,653.82 = 31,845 : x
  2. Step 2: Convert to fraction form
    56,995.50/78,653.82 = 31,845/x
  3. Step 3: Cross multiply
    56,995.50x = 78,653.82 × 31,845
  4. Step 4: Simplify right side
    56,995.50x = 2,504,730,897.90
  5. Step 5: Solve for x
    x = 2,504,730,897.90/56,995.50
  6. Step 6: Final answer
    x = 43,946.12

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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.