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Finding the Fourth Proportional to 43,658.84, 65,488.24 and 12,494.08

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Solution

The fourth proportional to 43,658.84, 65,488.24 and 12,494.08 is: 18,741.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,658.84 : 65,488.24 = 12,494.08 : x
  2. Step 2: Convert to fraction form
    43,658.84/65,488.24 = 12,494.08/x
  3. Step 3: Cross multiply
    43,658.84x = 65,488.24 × 12,494.08
  4. Step 4: Simplify right side
    43,658.84x = 818,215,309.62
  5. Step 5: Solve for x
    x = 818,215,309.62/43,658.84
  6. Step 6: Final answer
    x = 18,741.11

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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.