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Finding the Fourth Proportional to 71,534, 98,716.92 and 46,383.68

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Solution

The fourth proportional to 71,534, 98,716.92 and 46,383.68 is: 64,009.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,534 : 98,716.92 = 46,383.68 : x
  2. Step 2: Convert to fraction form
    71,534/98,716.92 = 46,383.68/x
  3. Step 3: Cross multiply
    71,534x = 98,716.92 × 46,383.68
  4. Step 4: Simplify right side
    71,534x = 4,578,854,027.87
  5. Step 5: Solve for x
    x = 4,578,854,027.87/71,534
  6. Step 6: Final answer
    x = 64,009.48

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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.