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Finding the Fourth Proportional to 52,272.72, 78,399.82 and 23,803.14

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Solution

The fourth proportional to 52,272.72, 78,399.82 and 23,803.14 is: 35,700.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,272.72 : 78,399.82 = 23,803.14 : x
  2. Step 2: Convert to fraction form
    52,272.72/78,399.82 = 23,803.14/x
  3. Step 3: Cross multiply
    52,272.72x = 78,399.82 × 23,803.14
  4. Step 4: Simplify right side
    52,272.72x = 1,866,161,772.42
  5. Step 5: Solve for x
    x = 1,866,161,772.42/52,272.72
  6. Step 6: Final answer
    x = 35,700.49

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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.