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Finding the Fourth Proportional to 84,793.22, 117,008.78 and 47,064.50

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Solution

The fourth proportional to 84,793.22, 117,008.78 and 47,064.50 is: 64,945.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,793.22 : 117,008.78 = 47,064.50 : x
  2. Step 2: Convert to fraction form
    84,793.22/117,008.78 = 47,064.50/x
  3. Step 3: Cross multiply
    84,793.22x = 117,008.78 × 47,064.50
  4. Step 4: Simplify right side
    84,793.22x = 5,506,959,726.31
  5. Step 5: Solve for x
    x = 5,506,959,726.31/84,793.22
  6. Step 6: Final answer
    x = 64,945.76

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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.