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Finding the Fourth Proportional to 35,522.16, 53,284.20 and 9,226.32

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Solution

The fourth proportional to 35,522.16, 53,284.20 and 9,226.32 is: 13,839.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,522.16 : 53,284.20 = 9,226.32 : x
  2. Step 2: Convert to fraction form
    35,522.16/53,284.20 = 9,226.32/x
  3. Step 3: Cross multiply
    35,522.16x = 53,284.20 × 9,226.32
  4. Step 4: Simplify right side
    35,522.16x = 491,617,080.14
  5. Step 5: Solve for x
    x = 491,617,080.14/35,522.16
  6. Step 6: Final answer
    x = 13,839.73

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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.