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Finding the Fourth Proportional to 33,152.88, 49,713.72 and 9,774.72

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Solution

The fourth proportional to 33,152.88, 49,713.72 and 9,774.72 is: 14,657.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,152.88 : 49,713.72 = 9,774.72 : x
  2. Step 2: Convert to fraction form
    33,152.88/49,713.72 = 9,774.72/x
  3. Step 3: Cross multiply
    33,152.88x = 49,713.72 × 9,774.72
  4. Step 4: Simplify right side
    33,152.88x = 485,937,693.16
  5. Step 5: Solve for x
    x = 485,937,693.16/33,152.88
  6. Step 6: Final answer
    x = 14,657.48

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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.