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Finding the Fourth Proportional to 37,468.64, 51,690.48 and 22,556

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Solution

The fourth proportional to 37,468.64, 51,690.48 and 22,556 is: 31,117.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,468.64 : 51,690.48 = 22,556 : x
  2. Step 2: Convert to fraction form
    37,468.64/51,690.48 = 22,556/x
  3. Step 3: Cross multiply
    37,468.64x = 51,690.48 × 22,556
  4. Step 4: Simplify right side
    37,468.64x = 1,165,930,466.88
  5. Step 5: Solve for x
    x = 1,165,930,466.88/37,468.64
  6. Step 6: Final answer
    x = 31,117.50

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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.