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Finding the Fourth Proportional to 84,535.59, 126,811.86 and 31,241.58

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Solution

The fourth proportional to 84,535.59, 126,811.86 and 31,241.58 is: 46,865.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,535.59 : 126,811.86 = 31,241.58 : x
  2. Step 2: Convert to fraction form
    84,535.59/126,811.86 = 31,241.58/x
  3. Step 3: Cross multiply
    84,535.59x = 126,811.86 × 31,241.58
  4. Step 4: Simplify right side
    84,535.59x = 3,961,802,603.81
  5. Step 5: Solve for x
    x = 3,961,802,603.81/84,535.59
  6. Step 6: Final answer
    x = 46,865.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.