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Finding the Fourth Proportional to 43,605, 65,404.14 and 24,826.08

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Solution

The fourth proportional to 43,605, 65,404.14 and 24,826.08 is: 37,237.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,605 : 65,404.14 = 24,826.08 : x
  2. Step 2: Convert to fraction form
    43,605/65,404.14 = 24,826.08/x
  3. Step 3: Cross multiply
    43,605x = 65,404.14 × 24,826.08
  4. Step 4: Simplify right side
    43,605x = 1,623,728,411.97
  5. Step 5: Solve for x
    x = 1,623,728,411.97/43,605
  6. Step 6: Final answer
    x = 37,237.21

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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.