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Finding the Fourth Proportional to 43,584.56, 65,376.88 and 30,462.56

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Solution

The fourth proportional to 43,584.56, 65,376.88 and 30,462.56 is: 45,693.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,584.56 : 65,376.88 = 30,462.56 : x
  2. Step 2: Convert to fraction form
    43,584.56/65,376.88 = 30,462.56/x
  3. Step 3: Cross multiply
    43,584.56x = 65,376.88 × 30,462.56
  4. Step 4: Simplify right side
    43,584.56x = 1,991,547,129.61
  5. Step 5: Solve for x
    x = 1,991,547,129.61/43,584.56
  6. Step 6: Final answer
    x = 45,693.87

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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.