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Finding the Fourth Proportional to 37,697.46, 52,023.48 and 20,702.79

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Solution

The fourth proportional to 37,697.46, 52,023.48 and 20,702.79 is: 28,570.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,697.46 : 52,023.48 = 20,702.79 : x
  2. Step 2: Convert to fraction form
    37,697.46/52,023.48 = 20,702.79/x
  3. Step 3: Cross multiply
    37,697.46x = 52,023.48 × 20,702.79
  4. Step 4: Simplify right side
    37,697.46x = 1,077,031,181.51
  5. Step 5: Solve for x
    x = 1,077,031,181.51/37,697.46
  6. Step 6: Final answer
    x = 28,570.39

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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.