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Finding the Fourth Proportional to 59,226, 81,731.92 and 32,730

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Solution

The fourth proportional to 59,226, 81,731.92 and 32,730 is: 45,167.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,226 : 81,731.92 = 32,730 : x
  2. Step 2: Convert to fraction form
    59,226/81,731.92 = 32,730/x
  3. Step 3: Cross multiply
    59,226x = 81,731.92 × 32,730
  4. Step 4: Simplify right side
    59,226x = 2,675,085,741.60
  5. Step 5: Solve for x
    x = 2,675,085,741.60/59,226
  6. Step 6: Final answer
    x = 45,167.42

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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.