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Finding the Fourth Proportional to 33,157.72, 49,737.95 and 9,784.16

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Solution

The fourth proportional to 33,157.72, 49,737.95 and 9,784.16 is: 14,676.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,157.72 : 49,737.95 = 9,784.16 : x
  2. Step 2: Convert to fraction form
    33,157.72/49,737.95 = 9,784.16/x
  3. Step 3: Cross multiply
    33,157.72x = 49,737.95 × 9,784.16
  4. Step 4: Simplify right side
    33,157.72x = 486,644,011.95
  5. Step 5: Solve for x
    x = 486,644,011.95/33,157.72
  6. Step 6: Final answer
    x = 14,676.64

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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.