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Finding the Fourth Proportional to 33,686.42, 50,464 and 20,506.10

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Solution

The fourth proportional to 33,686.42, 50,464 and 20,506.10 is: 30,719.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,686.42 : 50,464 = 20,506.10 : x
  2. Step 2: Convert to fraction form
    33,686.42/50,464 = 20,506.10/x
  3. Step 3: Cross multiply
    33,686.42x = 50,464 × 20,506.10
  4. Step 4: Simplify right side
    33,686.42x = 1,034,819,830.40
  5. Step 5: Solve for x
    x = 1,034,819,830.40/33,686.42
  6. Step 6: Final answer
    x = 30,719.20

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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.