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Finding the Fourth Proportional to 35,521.78, 53,282.70 and 9,224.32

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Solution

The fourth proportional to 35,521.78, 53,282.70 and 9,224.32 is: 13,836.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,521.78 : 53,282.70 = 9,224.32 : x
  2. Step 2: Convert to fraction form
    35,521.78/53,282.70 = 9,224.32/x
  3. Step 3: Cross multiply
    35,521.78x = 53,282.70 × 9,224.32
  4. Step 4: Simplify right side
    35,521.78x = 491,496,675.26
  5. Step 5: Solve for x
    x = 491,496,675.26/35,521.78
  6. Step 6: Final answer
    x = 13,836.49

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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.