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Finding the Fourth Proportional to 38,654.74, 58,245.37 and 31,788.55

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Solution

The fourth proportional to 38,654.74, 58,245.37 and 31,788.55 is: 47,899.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,654.74 : 58,245.37 = 31,788.55 : x
  2. Step 2: Convert to fraction form
    38,654.74/58,245.37 = 31,788.55/x
  3. Step 3: Cross multiply
    38,654.74x = 58,245.37 × 31,788.55
  4. Step 4: Simplify right side
    38,654.74x = 1,851,535,856.51
  5. Step 5: Solve for x
    x = 1,851,535,856.51/38,654.74
  6. Step 6: Final answer
    x = 47,899.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.