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Finding the Fourth Proportional to 32,297.01, 48,429.72 and 13,318.11

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Solution

The fourth proportional to 32,297.01, 48,429.72 and 13,318.11 is: 19,970.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,297.01 : 48,429.72 = 13,318.11 : x
  2. Step 2: Convert to fraction form
    32,297.01/48,429.72 = 13,318.11/x
  3. Step 3: Cross multiply
    32,297.01x = 48,429.72 × 13,318.11
  4. Step 4: Simplify right side
    32,297.01x = 644,992,338.23
  5. Step 5: Solve for x
    x = 644,992,338.23/32,297.01
  6. Step 6: Final answer
    x = 19,970.65

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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.