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Finding the Fourth Proportional to 37,565.50, 51,842.10 and 20,798.50

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Solution

The fourth proportional to 37,565.50, 51,842.10 and 20,798.50 is: 28,702.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,565.50 : 51,842.10 = 20,798.50 : x
  2. Step 2: Convert to fraction form
    37,565.50/51,842.10 = 20,798.50/x
  3. Step 3: Cross multiply
    37,565.50x = 51,842.10 × 20,798.50
  4. Step 4: Simplify right side
    37,565.50x = 1,078,237,916.85
  5. Step 5: Solve for x
    x = 1,078,237,916.85/37,565.50
  6. Step 6: Final answer
    x = 28,702.88

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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.