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Finding the Fourth Proportional to 59,338, 81,886.44 and 32,842

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Solution

The fourth proportional to 59,338, 81,886.44 and 32,842 is: 45,321.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,338 : 81,886.44 = 32,842 : x
  2. Step 2: Convert to fraction form
    59,338/81,886.44 = 32,842/x
  3. Step 3: Cross multiply
    59,338x = 81,886.44 × 32,842
  4. Step 4: Simplify right side
    59,338x = 2,689,314,462.48
  5. Step 5: Solve for x
    x = 2,689,314,462.48/59,338
  6. Step 6: Final answer
    x = 45,321.96

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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.