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Finding the Fourth Proportional to 40,031.71, 60,047.60 and 10,449.50

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Solution

The fourth proportional to 40,031.71, 60,047.60 and 10,449.50 is: 15,674.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,031.71 : 60,047.60 = 10,449.50 : x
  2. Step 2: Convert to fraction form
    40,031.71/60,047.60 = 10,449.50/x
  3. Step 3: Cross multiply
    40,031.71x = 60,047.60 × 10,449.50
  4. Step 4: Simplify right side
    40,031.71x = 627,467,043.71
  5. Step 5: Solve for x
    x = 627,467,043.71/40,031.71
  6. Step 6: Final answer
    x = 15,674.25

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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.