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Finding the Fourth Proportional to 83,263.68, 114,903.84 and 47,453.76

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Solution

The fourth proportional to 83,263.68, 114,903.84 and 47,453.76 is: 65,486.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,263.68 : 114,903.84 = 47,453.76 : x
  2. Step 2: Convert to fraction form
    83,263.68/114,903.84 = 47,453.76/x
  3. Step 3: Cross multiply
    83,263.68x = 114,903.84 × 47,453.76
  4. Step 4: Simplify right side
    83,263.68x = 5,452,619,246.44
  5. Step 5: Solve for x
    x = 5,452,619,246.44/83,263.68
  6. Step 6: Final answer
    x = 65,486.17

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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.