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Finding the Fourth Proportional to 33,461.76, 50,200.07 and 10,086.51

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Solution

The fourth proportional to 33,461.76, 50,200.07 and 10,086.51 is: 15,132.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,461.76 : 50,200.07 = 10,086.51 : x
  2. Step 2: Convert to fraction form
    33,461.76/50,200.07 = 10,086.51/x
  3. Step 3: Cross multiply
    33,461.76x = 50,200.07 × 10,086.51
  4. Step 4: Simplify right side
    33,461.76x = 506,343,457.62
  5. Step 5: Solve for x
    x = 506,343,457.62/33,461.76
  6. Step 6: Final answer
    x = 15,132.00

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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.