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Finding the Fourth Proportional to 94,202, 141,292.56 and 27,642.68

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Solution

The fourth proportional to 94,202, 141,292.56 and 27,642.68 is: 41,460.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,202 : 141,292.56 = 27,642.68 : x
  2. Step 2: Convert to fraction form
    94,202/141,292.56 = 27,642.68/x
  3. Step 3: Cross multiply
    94,202x = 141,292.56 × 27,642.68
  4. Step 4: Simplify right side
    94,202x = 3,905,705,022.46
  5. Step 5: Solve for x
    x = 3,905,705,022.46/94,202
  6. Step 6: Final answer
    x = 41,460.96

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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.