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Finding the Fourth Proportional to 37,929.50, 52,342.71 and 21,162.50

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Solution

The fourth proportional to 37,929.50, 52,342.71 and 21,162.50 is: 29,204.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,929.50 : 52,342.71 = 21,162.50 : x
  2. Step 2: Convert to fraction form
    37,929.50/52,342.71 = 21,162.50/x
  3. Step 3: Cross multiply
    37,929.50x = 52,342.71 × 21,162.50
  4. Step 4: Simplify right side
    37,929.50x = 1,107,702,600.38
  5. Step 5: Solve for x
    x = 1,107,702,600.38/37,929.50
  6. Step 6: Final answer
    x = 29,204.25

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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.