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Finding the Fourth Proportional to 32,742, 49,114.22 and 10,555.70

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Solution

The fourth proportional to 32,742, 49,114.22 and 10,555.70 is: 15,833.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,742 : 49,114.22 = 10,555.70 : x
  2. Step 2: Convert to fraction form
    32,742/49,114.22 = 10,555.70/x
  3. Step 3: Cross multiply
    32,742x = 49,114.22 × 10,555.70
  4. Step 4: Simplify right side
    32,742x = 518,434,972.05
  5. Step 5: Solve for x
    x = 518,434,972.05/32,742
  6. Step 6: Final answer
    x = 15,833.94

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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.