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Finding the Fourth Proportional to 84,795.76, 117,024.24 and 47,069.74

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Solution

The fourth proportional to 84,795.76, 117,024.24 and 47,069.74 is: 64,959.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,795.76 : 117,024.24 = 47,069.74 : x
  2. Step 2: Convert to fraction form
    84,795.76/117,024.24 = 47,069.74/x
  3. Step 3: Cross multiply
    84,795.76x = 117,024.24 × 47,069.74
  4. Step 4: Simplify right side
    84,795.76x = 5,508,300,550.50
  5. Step 5: Solve for x
    x = 5,508,300,550.50/84,795.76
  6. Step 6: Final answer
    x = 64,959.62

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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.