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Finding the Fourth Proportional to 30,185.71, 45,268.31 and 10,459.66

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Solution

The fourth proportional to 30,185.71, 45,268.31 and 10,459.66 is: 15,685.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,185.71 : 45,268.31 = 10,459.66 : x
  2. Step 2: Convert to fraction form
    30,185.71/45,268.31 = 10,459.66/x
  3. Step 3: Cross multiply
    30,185.71x = 45,268.31 × 10,459.66
  4. Step 4: Simplify right side
    30,185.71x = 473,491,079.08
  5. Step 5: Solve for x
    x = 473,491,079.08/30,185.71
  6. Step 6: Final answer
    x = 15,685.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.