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Finding the Fourth Proportional to 30,848.32, 42,572.04 and 17,419.69

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Solution

The fourth proportional to 30,848.32, 42,572.04 and 17,419.69 is: 24,039.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,848.32 : 42,572.04 = 17,419.69 : x
  2. Step 2: Convert to fraction form
    30,848.32/42,572.04 = 17,419.69/x
  3. Step 3: Cross multiply
    30,848.32x = 42,572.04 × 17,419.69
  4. Step 4: Simplify right side
    30,848.32x = 741,591,739.47
  5. Step 5: Solve for x
    x = 741,591,739.47/30,848.32
  6. Step 6: Final answer
    x = 24,039.94

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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.