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Finding the Fourth Proportional to 43,598.75, 65,398.74 and 12,434

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Solution

The fourth proportional to 43,598.75, 65,398.74 and 12,434 is: 18,651.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,598.75 : 65,398.74 = 12,434 : x
  2. Step 2: Convert to fraction form
    43,598.75/65,398.74 = 12,434/x
  3. Step 3: Cross multiply
    43,598.75x = 65,398.74 × 12,434
  4. Step 4: Simplify right side
    43,598.75x = 813,167,933.16
  5. Step 5: Solve for x
    x = 813,167,933.16/43,598.75
  6. Step 6: Final answer
    x = 18,651.18

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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.