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Finding the Fourth Proportional to 34,700.70, 47,887.02 and 19,594.02

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Solution

The fourth proportional to 34,700.70, 47,887.02 and 19,594.02 is: 27,039.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,700.70 : 47,887.02 = 19,594.02 : x
  2. Step 2: Convert to fraction form
    34,700.70/47,887.02 = 19,594.02/x
  3. Step 3: Cross multiply
    34,700.70x = 47,887.02 × 19,594.02
  4. Step 4: Simplify right side
    34,700.70x = 938,299,227.62
  5. Step 5: Solve for x
    x = 938,299,227.62/34,700.70
  6. Step 6: Final answer
    x = 27,039.78

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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.