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Finding the Fourth Proportional to 32,832.28, 49,282.62 and 15,319

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Solution

The fourth proportional to 32,832.28, 49,282.62 and 15,319 is: 22,994.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,832.28 : 49,282.62 = 15,319 : x
  2. Step 2: Convert to fraction form
    32,832.28/49,282.62 = 15,319/x
  3. Step 3: Cross multiply
    32,832.28x = 49,282.62 × 15,319
  4. Step 4: Simplify right side
    32,832.28x = 754,960,455.78
  5. Step 5: Solve for x
    x = 754,960,455.78/32,832.28
  6. Step 6: Final answer
    x = 22,994.46

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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.