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Finding the Fourth Proportional to 30,434.56, 41,999.78 and 17,006.32

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Solution

The fourth proportional to 30,434.56, 41,999.78 and 17,006.32 is: 23,468.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,434.56 : 41,999.78 = 17,006.32 : x
  2. Step 2: Convert to fraction form
    30,434.56/41,999.78 = 17,006.32/x
  3. Step 3: Cross multiply
    30,434.56x = 41,999.78 × 17,006.32
  4. Step 4: Simplify right side
    30,434.56x = 714,261,698.61
  5. Step 5: Solve for x
    x = 714,261,698.61/30,434.56
  6. Step 6: Final answer
    x = 23,468.77

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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.