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Finding the Fourth Proportional to 103,547.68, 155,315.92 and 33,427

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Solution

The fourth proportional to 103,547.68, 155,315.92 and 33,427 is: 50,138.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,547.68 : 155,315.92 = 33,427 : x
  2. Step 2: Convert to fraction form
    103,547.68/155,315.92 = 33,427/x
  3. Step 3: Cross multiply
    103,547.68x = 155,315.92 × 33,427
  4. Step 4: Simplify right side
    103,547.68x = 5,191,745,257.84
  5. Step 5: Solve for x
    x = 5,191,745,257.84/103,547.68
  6. Step 6: Final answer
    x = 50,138.69

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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.