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Finding the Fourth Proportional to 40,823.19, 61,245.32 and 12,744.14

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Solution

The fourth proportional to 40,823.19, 61,245.32 and 12,744.14 is: 19,119.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,823.19 : 61,245.32 = 12,744.14 : x
  2. Step 2: Convert to fraction form
    40,823.19/61,245.32 = 12,744.14/x
  3. Step 3: Cross multiply
    40,823.19x = 61,245.32 × 12,744.14
  4. Step 4: Simplify right side
    40,823.19x = 780,518,562.48
  5. Step 5: Solve for x
    x = 780,518,562.48/40,823.19
  6. Step 6: Final answer
    x = 19,119.49

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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.