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Finding the Fourth Proportional to 52,357.80, 78,502.14 and 21,161.64

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Solution

The fourth proportional to 52,357.80, 78,502.14 and 21,161.64 is: 31,728.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,357.80 : 78,502.14 = 21,161.64 : x
  2. Step 2: Convert to fraction form
    52,357.80/78,502.14 = 21,161.64/x
  3. Step 3: Cross multiply
    52,357.80x = 78,502.14 × 21,161.64
  4. Step 4: Simplify right side
    52,357.80x = 1,661,234,025.91
  5. Step 5: Solve for x
    x = 1,661,234,025.91/52,357.80
  6. Step 6: Final answer
    x = 31,728.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.