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Finding the Fourth Proportional to 31,018.47, 42,805.63 and 16,871.41

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Solution

The fourth proportional to 31,018.47, 42,805.63 and 16,871.41 is: 23,282.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,018.47 : 42,805.63 = 16,871.41 : x
  2. Step 2: Convert to fraction form
    31,018.47/42,805.63 = 16,871.41/x
  3. Step 3: Cross multiply
    31,018.47x = 42,805.63 × 16,871.41
  4. Step 4: Simplify right side
    31,018.47x = 722,191,334.04
  5. Step 5: Solve for x
    x = 722,191,334.04/31,018.47
  6. Step 6: Final answer
    x = 23,282.62

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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.