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Finding the Fourth Proportional to 68,205.47, 94,123.31 and 37,989

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Solution

The fourth proportional to 68,205.47, 94,123.31 and 37,989 is: 52,424.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,205.47 : 94,123.31 = 37,989 : x
  2. Step 2: Convert to fraction form
    68,205.47/94,123.31 = 37,989/x
  3. Step 3: Cross multiply
    68,205.47x = 94,123.31 × 37,989
  4. Step 4: Simplify right side
    68,205.47x = 3,575,650,233.65
  5. Step 5: Solve for x
    x = 3,575,650,233.65/68,205.47
  6. Step 6: Final answer
    x = 52,424.69

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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.