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Finding the Fourth Proportional to 30,671.24, 42,326.10 and 17,423.24

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Solution

The fourth proportional to 30,671.24, 42,326.10 and 17,423.24 is: 24,043.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,671.24 : 42,326.10 = 17,423.24 : x
  2. Step 2: Convert to fraction form
    30,671.24/42,326.10 = 17,423.24/x
  3. Step 3: Cross multiply
    30,671.24x = 42,326.10 × 17,423.24
  4. Step 4: Simplify right side
    30,671.24x = 737,457,798.56
  5. Step 5: Solve for x
    x = 737,457,798.56/30,671.24
  6. Step 6: Final answer
    x = 24,043.95

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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.