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Finding the Fourth Proportional to 32,767.68, 49,153.36 and 9,393.50

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Solution

The fourth proportional to 32,767.68, 49,153.36 and 9,393.50 is: 14,090.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,767.68 : 49,153.36 = 9,393.50 : x
  2. Step 2: Convert to fraction form
    32,767.68/49,153.36 = 9,393.50/x
  3. Step 3: Cross multiply
    32,767.68x = 49,153.36 × 9,393.50
  4. Step 4: Simplify right side
    32,767.68x = 461,722,087.16
  5. Step 5: Solve for x
    x = 461,722,087.16/32,767.68
  6. Step 6: Final answer
    x = 14,090.78

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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.