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Finding the Fourth Proportional to 82,412.42, 123,623.55 and 23,253.14

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Solution

The fourth proportional to 82,412.42, 123,623.55 and 23,253.14 is: 34,881.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,412.42 : 123,623.55 = 23,253.14 : x
  2. Step 2: Convert to fraction form
    82,412.42/123,623.55 = 23,253.14/x
  3. Step 3: Cross multiply
    82,412.42x = 123,623.55 × 23,253.14
  4. Step 4: Simplify right side
    82,412.42x = 2,874,635,715.45
  5. Step 5: Solve for x
    x = 2,874,635,715.45/82,412.42
  6. Step 6: Final answer
    x = 34,881.10

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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.