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Finding the Fourth Proportional to 33,113.40, 49,670.10 and 31,577.40

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Solution

The fourth proportional to 33,113.40, 49,670.10 and 31,577.40 is: 47,366.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,113.40 : 49,670.10 = 31,577.40 : x
  2. Step 2: Convert to fraction form
    33,113.40/49,670.10 = 31,577.40/x
  3. Step 3: Cross multiply
    33,113.40x = 49,670.10 × 31,577.40
  4. Step 4: Simplify right side
    33,113.40x = 1,568,452,615.74
  5. Step 5: Solve for x
    x = 1,568,452,615.74/33,113.40
  6. Step 6: Final answer
    x = 47,366.10

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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.