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Finding the Fourth Proportional to 35,525, 53,402.70 and 32,959.88

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Solution

The fourth proportional to 35,525, 53,402.70 and 32,959.88 is: 49,546.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,525 : 53,402.70 = 32,959.88 : x
  2. Step 2: Convert to fraction form
    35,525/53,402.70 = 32,959.88/x
  3. Step 3: Cross multiply
    35,525x = 53,402.70 × 32,959.88
  4. Step 4: Simplify right side
    35,525x = 1,760,146,583.68
  5. Step 5: Solve for x
    x = 1,760,146,583.68/35,525
  6. Step 6: Final answer
    x = 49,546.70

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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.