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Finding the Fourth Proportional to 32,506.11, 48,751.88 and 19,362.24

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Solution

The fourth proportional to 32,506.11, 48,751.88 and 19,362.24 is: 29,039.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,506.11 : 48,751.88 = 19,362.24 : x
  2. Step 2: Convert to fraction form
    32,506.11/48,751.88 = 19,362.24/x
  3. Step 3: Cross multiply
    32,506.11x = 48,751.88 × 19,362.24
  4. Step 4: Simplify right side
    32,506.11x = 943,945,504.20
  5. Step 5: Solve for x
    x = 943,945,504.20/32,506.11
  6. Step 6: Final answer
    x = 29,039.02

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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.