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Finding the Fourth Proportional to 37,807.20, 56,728.80 and 25,333.20

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Solution

The fourth proportional to 37,807.20, 56,728.80 and 25,333.20 is: 38,011.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,807.20 : 56,728.80 = 25,333.20 : x
  2. Step 2: Convert to fraction form
    37,807.20/56,728.80 = 25,333.20/x
  3. Step 3: Cross multiply
    37,807.20x = 56,728.80 × 25,333.20
  4. Step 4: Simplify right side
    37,807.20x = 1,437,122,036.16
  5. Step 5: Solve for x
    x = 1,437,122,036.16/37,807.20
  6. Step 6: Final answer
    x = 38,011.86

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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.