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Finding the Fourth Proportional to 43,407.98, 65,068.86 and 24,649.19

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Solution

The fourth proportional to 43,407.98, 65,068.86 and 24,649.19 is: 36,949.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,407.98 : 65,068.86 = 24,649.19 : x
  2. Step 2: Convert to fraction form
    43,407.98/65,068.86 = 24,649.19/x
  3. Step 3: Cross multiply
    43,407.98x = 65,068.86 × 24,649.19
  4. Step 4: Simplify right side
    43,407.98x = 1,603,894,698.77
  5. Step 5: Solve for x
    x = 1,603,894,698.77/43,407.98
  6. Step 6: Final answer
    x = 36,949.31

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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.