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Finding the Fourth Proportional to 34,651, 51,979.74 and 11,271.16

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Solution

The fourth proportional to 34,651, 51,979.74 and 11,271.16 is: 16,907.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,651 : 51,979.74 = 11,271.16 : x
  2. Step 2: Convert to fraction form
    34,651/51,979.74 = 11,271.16/x
  3. Step 3: Cross multiply
    34,651x = 51,979.74 × 11,271.16
  4. Step 4: Simplify right side
    34,651x = 585,871,966.30
  5. Step 5: Solve for x
    x = 585,871,966.30/34,651
  6. Step 6: Final answer
    x = 16,907.79

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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.