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Finding the Fourth Proportional to 34,282.10, 51,509.55 and 21,808.10

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Solution

The fourth proportional to 34,282.10, 51,509.55 and 21,808.10 is: 32,767.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,282.10 : 51,509.55 = 21,808.10 : x
  2. Step 2: Convert to fraction form
    34,282.10/51,509.55 = 21,808.10/x
  3. Step 3: Cross multiply
    34,282.10x = 51,509.55 × 21,808.10
  4. Step 4: Simplify right side
    34,282.10x = 1,123,325,417.36
  5. Step 5: Solve for x
    x = 1,123,325,417.36/34,282.10
  6. Step 6: Final answer
    x = 32,767.11

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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.