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Finding the Fourth Proportional to 30,883.86, 42,620.58 and 17,454.84

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Solution

The fourth proportional to 30,883.86, 42,620.58 and 17,454.84 is: 24,088.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,883.86 : 42,620.58 = 17,454.84 : x
  2. Step 2: Convert to fraction form
    30,883.86/42,620.58 = 17,454.84/x
  3. Step 3: Cross multiply
    30,883.86x = 42,620.58 × 17,454.84
  4. Step 4: Simplify right side
    30,883.86x = 743,935,404.61
  5. Step 5: Solve for x
    x = 743,935,404.61/30,883.86
  6. Step 6: Final answer
    x = 24,088.16

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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.