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Finding the Fourth Proportional to 82,430.62, 123,654.06 and 23,266.80

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Solution

The fourth proportional to 82,430.62, 123,654.06 and 23,266.80 is: 34,902.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,430.62 : 123,654.06 = 23,266.80 : x
  2. Step 2: Convert to fraction form
    82,430.62/123,654.06 = 23,266.80/x
  3. Step 3: Cross multiply
    82,430.62x = 123,654.06 × 23,266.80
  4. Step 4: Simplify right side
    82,430.62x = 2,877,034,283.21
  5. Step 5: Solve for x
    x = 2,877,034,283.21/82,430.62
  6. Step 6: Final answer
    x = 34,902.49

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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.