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Finding the Fourth Proportional to 30,845.90, 42,565.61 and 17,419.88

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Solution

The fourth proportional to 30,845.90, 42,565.61 and 17,419.88 is: 24,038.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,845.90 : 42,565.61 = 17,419.88 : x
  2. Step 2: Convert to fraction form
    30,845.90/42,565.61 = 17,419.88/x
  3. Step 3: Cross multiply
    30,845.90x = 42,565.61 × 17,419.88
  4. Step 4: Simplify right side
    30,845.90x = 741,487,649.05
  5. Step 5: Solve for x
    x = 741,487,649.05/30,845.90
  6. Step 6: Final answer
    x = 24,038.45

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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.