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Finding the Fourth Proportional to 30,837.32, 42,553.12 and 17,409.89

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Solution

The fourth proportional to 30,837.32, 42,553.12 and 17,409.89 is: 24,024.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,837.32 : 42,553.12 = 17,409.89 : x
  2. Step 2: Convert to fraction form
    30,837.32/42,553.12 = 17,409.89/x
  3. Step 3: Cross multiply
    30,837.32x = 42,553.12 × 17,409.89
  4. Step 4: Simplify right side
    30,837.32x = 740,845,201.21
  5. Step 5: Solve for x
    x = 740,845,201.21/30,837.32
  6. Step 6: Final answer
    x = 24,024.31

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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.