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Finding the Fourth Proportional to 84,703.92, 116,891.42 and 46,978.17

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Solution

The fourth proportional to 84,703.92, 116,891.42 and 46,978.17 is: 64,829.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,703.92 : 116,891.42 = 46,978.17 : x
  2. Step 2: Convert to fraction form
    84,703.92/116,891.42 = 46,978.17/x
  3. Step 3: Cross multiply
    84,703.92x = 116,891.42 × 46,978.17
  4. Step 4: Simplify right side
    84,703.92x = 5,491,344,765.41
  5. Step 5: Solve for x
    x = 5,491,344,765.41/84,703.92
  6. Step 6: Final answer
    x = 64,829.88

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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.