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Finding the Fourth Proportional to 32,833.40, 49,235.70 and 13,105.40

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Solution

The fourth proportional to 32,833.40, 49,235.70 and 13,105.40 is: 19,652.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,833.40 : 49,235.70 = 13,105.40 : x
  2. Step 2: Convert to fraction form
    32,833.40/49,235.70 = 13,105.40/x
  3. Step 3: Cross multiply
    32,833.40x = 49,235.70 × 13,105.40
  4. Step 4: Simplify right side
    32,833.40x = 645,253,542.78
  5. Step 5: Solve for x
    x = 645,253,542.78/32,833.40
  6. Step 6: Final answer
    x = 19,652.35

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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.