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Finding the Fourth Proportional to 83,276.82, 114,919.14 and 47,478.36

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Solution

The fourth proportional to 83,276.82, 114,919.14 and 47,478.36 is: 65,518.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,276.82 : 114,919.14 = 47,478.36 : x
  2. Step 2: Convert to fraction form
    83,276.82/114,919.14 = 47,478.36/x
  3. Step 3: Cross multiply
    83,276.82x = 114,919.14 × 47,478.36
  4. Step 4: Simplify right side
    83,276.82x = 5,456,172,299.81
  5. Step 5: Solve for x
    x = 5,456,172,299.81/83,276.82
  6. Step 6: Final answer
    x = 65,518.50

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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.