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Finding the Fourth Proportional to 30,894.39, 42,631.70 and 17,464.95

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Solution

The fourth proportional to 30,894.39, 42,631.70 and 17,464.95 is: 24,100.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,894.39 : 42,631.70 = 17,464.95 : x
  2. Step 2: Convert to fraction form
    30,894.39/42,631.70 = 17,464.95/x
  3. Step 3: Cross multiply
    30,894.39x = 42,631.70 × 17,464.95
  4. Step 4: Simplify right side
    30,894.39x = 744,560,421.59
  5. Step 5: Solve for x
    x = 744,560,421.59/30,894.39
  6. Step 6: Final answer
    x = 24,100.18

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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.