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Finding the Fourth Proportional to 77,473, 116,211.12 and 22,069

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Solution

The fourth proportional to 77,473, 116,211.12 and 22,069 is: 33,103.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,473 : 116,211.12 = 22,069 : x
  2. Step 2: Convert to fraction form
    77,473/116,211.12 = 22,069/x
  3. Step 3: Cross multiply
    77,473x = 116,211.12 × 22,069
  4. Step 4: Simplify right side
    77,473x = 2,564,663,207.28
  5. Step 5: Solve for x
    x = 2,564,663,207.28/77,473
  6. Step 6: Final answer
    x = 33,103.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.