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Finding the Fourth Proportional to 30,036.06, 41,452.32 and 17,460

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Solution

The fourth proportional to 30,036.06, 41,452.32 and 17,460 is: 24,096.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,036.06 : 41,452.32 = 17,460 : x
  2. Step 2: Convert to fraction form
    30,036.06/41,452.32 = 17,460/x
  3. Step 3: Cross multiply
    30,036.06x = 41,452.32 × 17,460
  4. Step 4: Simplify right side
    30,036.06x = 723,757,507.20
  5. Step 5: Solve for x
    x = 723,757,507.20/30,036.06
  6. Step 6: Final answer
    x = 24,096.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.