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Finding the Fourth Proportional to 83,165.77, 114,768.84 and 47,355.67

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Solution

The fourth proportional to 83,165.77, 114,768.84 and 47,355.67 is: 65,350.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,165.77 : 114,768.84 = 47,355.67 : x
  2. Step 2: Convert to fraction form
    83,165.77/114,768.84 = 47,355.67/x
  3. Step 3: Cross multiply
    83,165.77x = 114,768.84 × 47,355.67
  4. Step 4: Simplify right side
    83,165.77x = 5,434,955,313.32
  5. Step 5: Solve for x
    x = 5,434,955,313.32/83,165.77
  6. Step 6: Final answer
    x = 65,350.87

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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.