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Finding the Fourth Proportional to 35,996.88, 49,647.56 and 31,967.76

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Solution

The fourth proportional to 35,996.88, 49,647.56 and 31,967.76 is: 44,090.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,996.88 : 49,647.56 = 31,967.76 : x
  2. Step 2: Convert to fraction form
    35,996.88/49,647.56 = 31,967.76/x
  3. Step 3: Cross multiply
    35,996.88x = 49,647.56 × 31,967.76
  4. Step 4: Simplify right side
    35,996.88x = 1,587,121,282.67
  5. Step 5: Solve for x
    x = 1,587,121,282.67/35,996.88
  6. Step 6: Final answer
    x = 44,090.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.