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Finding the Fourth Proportional to 30,614.54, 42,223 and 21,569.88

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Solution

The fourth proportional to 30,614.54, 42,223 and 21,569.88 is: 29,748.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,614.54 : 42,223 = 21,569.88 : x
  2. Step 2: Convert to fraction form
    30,614.54/42,223 = 21,569.88/x
  3. Step 3: Cross multiply
    30,614.54x = 42,223 × 21,569.88
  4. Step 4: Simplify right side
    30,614.54x = 910,745,043.24
  5. Step 5: Solve for x
    x = 910,745,043.24/30,614.54
  6. Step 6: Final answer
    x = 29,748.77

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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.