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Finding the Fourth Proportional to 29,833.12, 44,758.56 and 12,304

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Solution

The fourth proportional to 29,833.12, 44,758.56 and 12,304 is: 18,459.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,833.12 : 44,758.56 = 12,304 : x
  2. Step 2: Convert to fraction form
    29,833.12/44,758.56 = 12,304/x
  3. Step 3: Cross multiply
    29,833.12x = 44,758.56 × 12,304
  4. Step 4: Simplify right side
    29,833.12x = 550,709,322.24
  5. Step 5: Solve for x
    x = 550,709,322.24/29,833.12
  6. Step 6: Final answer
    x = 18,459.66

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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.