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Finding the Fourth Proportional to 82,933.44, 124,405.92 and 27,528

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Solution

The fourth proportional to 82,933.44, 124,405.92 and 27,528 is: 41,293.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,933.44 : 124,405.92 = 27,528 : x
  2. Step 2: Convert to fraction form
    82,933.44/124,405.92 = 27,528/x
  3. Step 3: Cross multiply
    82,933.44x = 124,405.92 × 27,528
  4. Step 4: Simplify right side
    82,933.44x = 3,424,646,165.76
  5. Step 5: Solve for x
    x = 3,424,646,165.76/82,933.44
  6. Step 6: Final answer
    x = 41,293.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.