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Finding the Fourth Proportional to 84,670.92, 116,822.25 and 52,871.94

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Solution

The fourth proportional to 84,670.92, 116,822.25 and 52,871.94 is: 72,948.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,670.92 : 116,822.25 = 52,871.94 : x
  2. Step 2: Convert to fraction form
    84,670.92/116,822.25 = 52,871.94/x
  3. Step 3: Cross multiply
    84,670.92x = 116,822.25 × 52,871.94
  4. Step 4: Simplify right side
    84,670.92x = 6,176,618,992.67
  5. Step 5: Solve for x
    x = 6,176,618,992.67/84,670.92
  6. Step 6: Final answer
    x = 72,948.53

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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.