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Finding the Fourth Proportional to 23,490, 35,235 and 5,959.92

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Solution

The fourth proportional to 23,490, 35,235 and 5,959.92 is: 8,939.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,490 : 35,235 = 5,959.92 : x
  2. Step 2: Convert to fraction form
    23,490/35,235 = 5,959.92/x
  3. Step 3: Cross multiply
    23,490x = 35,235 × 5,959.92
  4. Step 4: Simplify right side
    23,490x = 209,997,781.20
  5. Step 5: Solve for x
    x = 209,997,781.20/23,490
  6. Step 6: Final answer
    x = 8,939.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.