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Finding the Fourth Proportional to 94,398.56, 141,575.16 and 27,820.70

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Solution

The fourth proportional to 94,398.56, 141,575.16 and 27,820.70 is: 41,724.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,398.56 : 141,575.16 = 27,820.70 : x
  2. Step 2: Convert to fraction form
    94,398.56/141,575.16 = 27,820.70/x
  3. Step 3: Cross multiply
    94,398.56x = 141,575.16 × 27,820.70
  4. Step 4: Simplify right side
    94,398.56x = 3,938,720,053.81
  5. Step 5: Solve for x
    x = 3,938,720,053.81/94,398.56
  6. Step 6: Final answer
    x = 41,724.37

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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.