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Finding the Fourth Proportional to 32,856.20, 49,284.30 and 19,723.40

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Solution

The fourth proportional to 32,856.20, 49,284.30 and 19,723.40 is: 29,585.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,856.20 : 49,284.30 = 19,723.40 : x
  2. Step 2: Convert to fraction form
    32,856.20/49,284.30 = 19,723.40/x
  3. Step 3: Cross multiply
    32,856.20x = 49,284.30 × 19,723.40
  4. Step 4: Simplify right side
    32,856.20x = 972,053,962.62
  5. Step 5: Solve for x
    x = 972,053,962.62/32,856.20
  6. Step 6: Final answer
    x = 29,585.10

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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.