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Finding the Fourth Proportional to 38,765.68, 53,504.97 and 23,655.10

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Solution

The fourth proportional to 38,765.68, 53,504.97 and 23,655.10 is: 32,649.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,765.68 : 53,504.97 = 23,655.10 : x
  2. Step 2: Convert to fraction form
    38,765.68/53,504.97 = 23,655.10/x
  3. Step 3: Cross multiply
    38,765.68x = 53,504.97 × 23,655.10
  4. Step 4: Simplify right side
    38,765.68x = 1,265,665,415.85
  5. Step 5: Solve for x
    x = 1,265,665,415.85/38,765.68
  6. Step 6: Final answer
    x = 32,649.12

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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.