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Finding the Fourth Proportional to 40,417.71, 55,783.02 and 30,839.46

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Solution

The fourth proportional to 40,417.71, 55,783.02 and 30,839.46 is: 42,563.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,417.71 : 55,783.02 = 30,839.46 : x
  2. Step 2: Convert to fraction form
    40,417.71/55,783.02 = 30,839.46/x
  3. Step 3: Cross multiply
    40,417.71x = 55,783.02 × 30,839.46
  4. Step 4: Simplify right side
    40,417.71x = 1,720,318,213.97
  5. Step 5: Solve for x
    x = 1,720,318,213.97/40,417.71
  6. Step 6: Final answer
    x = 42,563.48

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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.