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Finding the Fourth Proportional to 38,903.83, 53,670.31 and 23,797.15

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Solution

The fourth proportional to 38,903.83, 53,670.31 and 23,797.15 is: 32,829.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,903.83 : 53,670.31 = 23,797.15 : x
  2. Step 2: Convert to fraction form
    38,903.83/53,670.31 = 23,797.15/x
  3. Step 3: Cross multiply
    38,903.83x = 53,670.31 × 23,797.15
  4. Step 4: Simplify right side
    38,903.83x = 1,277,200,417.62
  5. Step 5: Solve for x
    x = 1,277,200,417.62/38,903.83
  6. Step 6: Final answer
    x = 32,829.68

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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.