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Finding the Fourth Proportional to 32,768.68, 49,154.86 and 9,394.50

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Solution

The fourth proportional to 32,768.68, 49,154.86 and 9,394.50 is: 14,092.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,768.68 : 49,154.86 = 9,394.50 : x
  2. Step 2: Convert to fraction form
    32,768.68/49,154.86 = 9,394.50/x
  3. Step 3: Cross multiply
    32,768.68x = 49,154.86 × 9,394.50
  4. Step 4: Simplify right side
    32,768.68x = 461,785,332.27
  5. Step 5: Solve for x
    x = 461,785,332.27/32,768.68
  6. Step 6: Final answer
    x = 14,092.28

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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.