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Finding the Fourth Proportional to 33,070.32, 49,604.80 and 9,696.24

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Solution

The fourth proportional to 33,070.32, 49,604.80 and 9,696.24 is: 14,544.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,070.32 : 49,604.80 = 9,696.24 : x
  2. Step 2: Convert to fraction form
    33,070.32/49,604.80 = 9,696.24/x
  3. Step 3: Cross multiply
    33,070.32x = 49,604.80 × 9,696.24
  4. Step 4: Simplify right side
    33,070.32x = 480,980,045.95
  5. Step 5: Solve for x
    x = 480,980,045.95/33,070.32
  6. Step 6: Final answer
    x = 14,544.16

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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.