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Finding the Fourth Proportional to 33,506.58, 50,248.10 and 9,807.60

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Solution

The fourth proportional to 33,506.58, 50,248.10 and 9,807.60 is: 14,707.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,506.58 : 50,248.10 = 9,807.60 : x
  2. Step 2: Convert to fraction form
    33,506.58/50,248.10 = 9,807.60/x
  3. Step 3: Cross multiply
    33,506.58x = 50,248.10 × 9,807.60
  4. Step 4: Simplify right side
    33,506.58x = 492,813,265.56
  5. Step 5: Solve for x
    x = 492,813,265.56/33,506.58
  6. Step 6: Final answer
    x = 14,707.95

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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.