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Finding the Fourth Proportional to 33,222.24, 49,842 and 9,848.16

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Solution

The fourth proportional to 33,222.24, 49,842 and 9,848.16 is: 14,774.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,222.24 : 49,842 = 9,848.16 : x
  2. Step 2: Convert to fraction form
    33,222.24/49,842 = 9,848.16/x
  3. Step 3: Cross multiply
    33,222.24x = 49,842 × 9,848.16
  4. Step 4: Simplify right side
    33,222.24x = 490,851,990.72
  5. Step 5: Solve for x
    x = 490,851,990.72/33,222.24
  6. Step 6: Final answer
    x = 14,774.80

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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.