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Finding the Fourth Proportional to 30,475.24, 42,046.50 and 19,861

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Solution

The fourth proportional to 30,475.24, 42,046.50 and 19,861 is: 27,402.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,475.24 : 42,046.50 = 19,861 : x
  2. Step 2: Convert to fraction form
    30,475.24/42,046.50 = 19,861/x
  3. Step 3: Cross multiply
    30,475.24x = 42,046.50 × 19,861
  4. Step 4: Simplify right side
    30,475.24x = 835,085,536.50
  5. Step 5: Solve for x
    x = 835,085,536.50/30,475.24
  6. Step 6: Final answer
    x = 27,402.10

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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.