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Finding the Fourth Proportional to 33,160.63, 49,744.59 and 9,787.09

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Solution

The fourth proportional to 33,160.63, 49,744.59 and 9,787.09 is: 14,681.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,160.63 : 49,744.59 = 9,787.09 : x
  2. Step 2: Convert to fraction form
    33,160.63/49,744.59 = 9,787.09/x
  3. Step 3: Cross multiply
    33,160.63x = 49,744.59 × 9,787.09
  4. Step 4: Simplify right side
    33,160.63x = 486,854,779.34
  5. Step 5: Solve for x
    x = 486,854,779.34/33,160.63
  6. Step 6: Final answer
    x = 14,681.71

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1.5x scale

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.