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Finding the Fourth Proportional to 33,478.66, 50,218.38 and 10,106.08

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Solution

The fourth proportional to 33,478.66, 50,218.38 and 10,106.08 is: 15,159.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,478.66 : 50,218.38 = 10,106.08 : x
  2. Step 2: Convert to fraction form
    33,478.66/50,218.38 = 10,106.08/x
  3. Step 3: Cross multiply
    33,478.66x = 50,218.38 × 10,106.08
  4. Step 4: Simplify right side
    33,478.66x = 507,510,965.75
  5. Step 5: Solve for x
    x = 507,510,965.75/33,478.66
  6. Step 6: Final answer
    x = 15,159.24

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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.