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Finding the Fourth Proportional to 84,955.64, 117,238.46 and 47,229.90

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Solution

The fourth proportional to 84,955.64, 117,238.46 and 47,229.90 is: 65,177.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,955.64 : 117,238.46 = 47,229.90 : x
  2. Step 2: Convert to fraction form
    84,955.64/117,238.46 = 47,229.90/x
  3. Step 3: Cross multiply
    84,955.64x = 117,238.46 × 47,229.90
  4. Step 4: Simplify right side
    84,955.64x = 5,537,160,741.95
  5. Step 5: Solve for x
    x = 5,537,160,741.95/84,955.64
  6. Step 6: Final answer
    x = 65,177.08

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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.