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Finding the Fourth Proportional to 94,221, 141,396.30 and 38,817

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Solution

The fourth proportional to 94,221, 141,396.30 and 38,817 is: 58,252.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,221 : 141,396.30 = 38,817 : x
  2. Step 2: Convert to fraction form
    94,221/141,396.30 = 38,817/x
  3. Step 3: Cross multiply
    94,221x = 141,396.30 × 38,817
  4. Step 4: Simplify right side
    94,221x = 5,488,580,177.10
  5. Step 5: Solve for x
    x = 5,488,580,177.10/94,221
  6. Step 6: Final answer
    x = 58,252.20

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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.