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Finding the Fourth Proportional to 30,904.83, 42,646.87 and 17,478.90

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Solution

The fourth proportional to 30,904.83, 42,646.87 and 17,478.90 is: 24,119.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,904.83 : 42,646.87 = 17,478.90 : x
  2. Step 2: Convert to fraction form
    30,904.83/42,646.87 = 17,478.90/x
  3. Step 3: Cross multiply
    30,904.83x = 42,646.87 × 17,478.90
  4. Step 4: Simplify right side
    30,904.83x = 745,420,376.04
  5. Step 5: Solve for x
    x = 745,420,376.04/30,904.83
  6. Step 6: Final answer
    x = 24,119.87

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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.