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Finding the Fourth Proportional to 84,076.71, 116,005.68 and 47,770.17

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Solution

The fourth proportional to 84,076.71, 116,005.68 and 47,770.17 is: 65,911.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,076.71 : 116,005.68 = 47,770.17 : x
  2. Step 2: Convert to fraction form
    84,076.71/116,005.68 = 47,770.17/x
  3. Step 3: Cross multiply
    84,076.71x = 116,005.68 × 47,770.17
  4. Step 4: Simplify right side
    84,076.71x = 5,541,611,054.57
  5. Step 5: Solve for x
    x = 5,541,611,054.57/84,076.71
  6. Step 6: Final answer
    x = 65,911.37

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1.5x scale

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.