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Finding the Fourth Proportional to 30,031.40, 41,443.83 and 17,456.15

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Solution

The fourth proportional to 30,031.40, 41,443.83 and 17,456.15 is: 24,089.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,031.40 : 41,443.83 = 17,456.15 : x
  2. Step 2: Convert to fraction form
    30,031.40/41,443.83 = 17,456.15/x
  3. Step 3: Cross multiply
    30,031.40x = 41,443.83 × 17,456.15
  4. Step 4: Simplify right side
    30,031.40x = 723,449,505.84
  5. Step 5: Solve for x
    x = 723,449,505.84/30,031.40
  6. Step 6: Final answer
    x = 24,089.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.