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Finding the Fourth Proportional to 33,052.32, 49,580.16 and 9,680.64

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Solution

The fourth proportional to 33,052.32, 49,580.16 and 9,680.64 is: 14,521.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,052.32 : 49,580.16 = 9,680.64 : x
  2. Step 2: Convert to fraction form
    33,052.32/49,580.16 = 9,680.64/x
  3. Step 3: Cross multiply
    33,052.32x = 49,580.16 × 9,680.64
  4. Step 4: Simplify right side
    33,052.32x = 479,967,680.10
  5. Step 5: Solve for x
    x = 479,967,680.10/33,052.32
  6. Step 6: Final answer
    x = 14,521.45

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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.