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Finding the Fourth Proportional to 43,590.48, 65,379.24 and 15,882

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Solution

The fourth proportional to 43,590.48, 65,379.24 and 15,882 is: 23,820.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,590.48 : 65,379.24 = 15,882 : x
  2. Step 2: Convert to fraction form
    43,590.48/65,379.24 = 15,882/x
  3. Step 3: Cross multiply
    43,590.48x = 65,379.24 × 15,882
  4. Step 4: Simplify right side
    43,590.48x = 1,038,353,089.68
  5. Step 5: Solve for x
    x = 1,038,353,089.68/43,590.48
  6. Step 6: Final answer
    x = 23,820.64

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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.