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Finding the Fourth Proportional to 84,750.84, 116,978.85 and 52,900.56

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Solution

The fourth proportional to 84,750.84, 116,978.85 and 52,900.56 is: 73,016.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,750.84 : 116,978.85 = 52,900.56 : x
  2. Step 2: Convert to fraction form
    84,750.84/116,978.85 = 52,900.56/x
  3. Step 3: Cross multiply
    84,750.84x = 116,978.85 × 52,900.56
  4. Step 4: Simplify right side
    84,750.84x = 6,188,246,673.16
  5. Step 5: Solve for x
    x = 6,188,246,673.16/84,750.84
  6. Step 6: Final answer
    x = 73,016.94

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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.