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Finding the Fourth Proportional to 37,866.22, 52,267.22 and 24,437.50

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Solution

The fourth proportional to 37,866.22, 52,267.22 and 24,437.50 is: 33,731.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,866.22 : 52,267.22 = 24,437.50 : x
  2. Step 2: Convert to fraction form
    37,866.22/52,267.22 = 24,437.50/x
  3. Step 3: Cross multiply
    37,866.22x = 52,267.22 × 24,437.50
  4. Step 4: Simplify right side
    37,866.22x = 1,277,280,188.75
  5. Step 5: Solve for x
    x = 1,277,280,188.75/37,866.22
  6. Step 6: Final answer
    x = 33,731.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.