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Finding the Fourth Proportional to 30,641.61, 42,285.59 and 17,213.43

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Solution

The fourth proportional to 30,641.61, 42,285.59 and 17,213.43 is: 23,754.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,641.61 : 42,285.59 = 17,213.43 : x
  2. Step 2: Convert to fraction form
    30,641.61/42,285.59 = 17,213.43/x
  3. Step 3: Cross multiply
    30,641.61x = 42,285.59 × 17,213.43
  4. Step 4: Simplify right side
    30,641.61x = 727,880,043.47
  5. Step 5: Solve for x
    x = 727,880,043.47/30,641.61
  6. Step 6: Final answer
    x = 23,754.63

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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.