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Finding the Fourth Proportional to 84,259.72, 116,272.56 and 46,531

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Solution

The fourth proportional to 84,259.72, 116,272.56 and 46,531 is: 64,209.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,259.72 : 116,272.56 = 46,531 : x
  2. Step 2: Convert to fraction form
    84,259.72/116,272.56 = 46,531/x
  3. Step 3: Cross multiply
    84,259.72x = 116,272.56 × 46,531
  4. Step 4: Simplify right side
    84,259.72x = 5,410,278,489.36
  5. Step 5: Solve for x
    x = 5,410,278,489.36/84,259.72
  6. Step 6: Final answer
    x = 64,209.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.