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Finding the Fourth Proportional to 72,770, 109,189.56 and 23,522

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Solution

The fourth proportional to 72,770, 109,189.56 and 23,522 is: 35,294.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,770 : 109,189.56 = 23,522 : x
  2. Step 2: Convert to fraction form
    72,770/109,189.56 = 23,522/x
  3. Step 3: Cross multiply
    72,770x = 109,189.56 × 23,522
  4. Step 4: Simplify right side
    72,770x = 2,568,356,830.32
  5. Step 5: Solve for x
    x = 2,568,356,830.32/72,770
  6. Step 6: Final answer
    x = 35,294.17

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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.