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Finding the Fourth Proportional to 27,446.50, 37,897.50 and 21,062.98

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Solution

The fourth proportional to 27,446.50, 37,897.50 and 21,062.98 is: 29,083.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,446.50 : 37,897.50 = 21,062.98 : x
  2. Step 2: Convert to fraction form
    27,446.50/37,897.50 = 21,062.98/x
  3. Step 3: Cross multiply
    27,446.50x = 37,897.50 × 21,062.98
  4. Step 4: Simplify right side
    27,446.50x = 798,234,284.55
  5. Step 5: Solve for x
    x = 798,234,284.55/27,446.50
  6. Step 6: Final answer
    x = 29,083.28

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1.5x scale

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.