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Finding the Fourth Proportional to 43,349.16, 65,012.40 and 12,177.12

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Solution

The fourth proportional to 43,349.16, 65,012.40 and 12,177.12 is: 18,262.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,349.16 : 65,012.40 = 12,177.12 : x
  2. Step 2: Convert to fraction form
    43,349.16/65,012.40 = 12,177.12/x
  3. Step 3: Cross multiply
    43,349.16x = 65,012.40 × 12,177.12
  4. Step 4: Simplify right side
    43,349.16x = 791,663,796.29
  5. Step 5: Solve for x
    x = 791,663,796.29/43,349.16
  6. Step 6: Final answer
    x = 18,262.49

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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.