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Finding the Fourth Proportional to 32,400.81, 48,601.22 and 7,776.81

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Solution

The fourth proportional to 32,400.81, 48,601.22 and 7,776.81 is: 11,665.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,400.81 : 48,601.22 = 7,776.81 : x
  2. Step 2: Convert to fraction form
    32,400.81/48,601.22 = 7,776.81/x
  3. Step 3: Cross multiply
    32,400.81x = 48,601.22 × 7,776.81
  4. Step 4: Simplify right side
    32,400.81x = 377,962,565.49
  5. Step 5: Solve for x
    x = 377,962,565.49/32,400.81
  6. Step 6: Final answer
    x = 11,665.22

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Similar ratio
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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.