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Finding the Fourth Proportional to 84,854.14, 127,241.07 and 31,509.34

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Solution

The fourth proportional to 84,854.14, 127,241.07 and 31,509.34 is: 47,249.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,854.14 : 127,241.07 = 31,509.34 : x
  2. Step 2: Convert to fraction form
    84,854.14/127,241.07 = 31,509.34/x
  3. Step 3: Cross multiply
    84,854.14x = 127,241.07 × 31,509.34
  4. Step 4: Simplify right side
    84,854.14x = 4,009,282,136.59
  5. Step 5: Solve for x
    x = 4,009,282,136.59/84,854.14
  6. Step 6: Final answer
    x = 47,249.10

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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.