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Finding the Fourth Proportional to 33,252.32, 49,886.69 and 9,878.72

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Solution

The fourth proportional to 33,252.32, 49,886.69 and 9,878.72 is: 14,820.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,252.32 : 49,886.69 = 9,878.72 : x
  2. Step 2: Convert to fraction form
    33,252.32/49,886.69 = 9,878.72/x
  3. Step 3: Cross multiply
    33,252.32x = 49,886.69 × 9,878.72
  4. Step 4: Simplify right side
    33,252.32x = 492,816,417.50
  5. Step 5: Solve for x
    x = 492,816,417.50/33,252.32
  6. Step 6: Final answer
    x = 14,820.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.