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Finding the Fourth Proportional to 32,923.78, 49,385.70 and 10,737.10

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Solution

The fourth proportional to 32,923.78, 49,385.70 and 10,737.10 is: 16,105.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,923.78 : 49,385.70 = 10,737.10 : x
  2. Step 2: Convert to fraction form
    32,923.78/49,385.70 = 10,737.10/x
  3. Step 3: Cross multiply
    32,923.78x = 49,385.70 × 10,737.10
  4. Step 4: Simplify right side
    32,923.78x = 530,259,199.47
  5. Step 5: Solve for x
    x = 530,259,199.47/32,923.78
  6. Step 6: Final answer
    x = 16,105.66

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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.