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Finding the Fourth Proportional to 94,447, 141,680.22 and 27,903.88

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Solution

The fourth proportional to 94,447, 141,680.22 and 27,903.88 is: 41,858.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,447 : 141,680.22 = 27,903.88 : x
  2. Step 2: Convert to fraction form
    94,447/141,680.22 = 27,903.88/x
  3. Step 3: Cross multiply
    94,447x = 141,680.22 × 27,903.88
  4. Step 4: Simplify right side
    94,447x = 3,953,427,857.25
  5. Step 5: Solve for x
    x = 3,953,427,857.25/94,447
  6. Step 6: Final answer
    x = 41,858.69

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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.