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Finding the Fourth Proportional to 30,650, 45,959.82 and 18,002.92

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Solution

The fourth proportional to 30,650, 45,959.82 and 18,002.92 is: 26,995.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,650 : 45,959.82 = 18,002.92 : x
  2. Step 2: Convert to fraction form
    30,650/45,959.82 = 18,002.92/x
  3. Step 3: Cross multiply
    30,650x = 45,959.82 × 18,002.92
  4. Step 4: Simplify right side
    30,650x = 827,410,962.67
  5. Step 5: Solve for x
    x = 827,410,962.67/30,650
  6. Step 6: Final answer
    x = 26,995.46

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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.