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Finding the Fourth Proportional to 35,891.34, 53,777.76 and 20,856.25

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Solution

The fourth proportional to 35,891.34, 53,777.76 and 20,856.25 is: 31,249.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,891.34 : 53,777.76 = 20,856.25 : x
  2. Step 2: Convert to fraction form
    35,891.34/53,777.76 = 20,856.25/x
  3. Step 3: Cross multiply
    35,891.34x = 53,777.76 × 20,856.25
  4. Step 4: Simplify right side
    35,891.34x = 1,121,602,407
  5. Step 5: Solve for x
    x = 1,121,602,407/35,891.34
  6. Step 6: Final answer
    x = 31,249.95

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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.