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Finding the Fourth Proportional to 32,069.01, 48,077.58 and 13,363.11

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Solution

The fourth proportional to 32,069.01, 48,077.58 and 13,363.11 is: 20,033.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,069.01 : 48,077.58 = 13,363.11 : x
  2. Step 2: Convert to fraction form
    32,069.01/48,077.58 = 13,363.11/x
  3. Step 3: Cross multiply
    32,069.01x = 48,077.58 × 13,363.11
  4. Step 4: Simplify right side
    32,069.01x = 642,465,990.07
  5. Step 5: Solve for x
    x = 642,465,990.07/32,069.01
  6. Step 6: Final answer
    x = 20,033.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.