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Finding the Fourth Proportional to 51,496.97, 77,220.74 and 21,898.76

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Solution

The fourth proportional to 51,496.97, 77,220.74 and 21,898.76 is: 32,837.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,496.97 : 77,220.74 = 21,898.76 : x
  2. Step 2: Convert to fraction form
    51,496.97/77,220.74 = 21,898.76/x
  3. Step 3: Cross multiply
    51,496.97x = 77,220.74 × 21,898.76
  4. Step 4: Simplify right side
    51,496.97x = 1,691,038,120.93
  5. Step 5: Solve for x
    x = 1,691,038,120.93/51,496.97
  6. Step 6: Final answer
    x = 32,837.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.