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Finding the Fourth Proportional to 38,764.68, 53,503.59 and 23,654.10

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Solution

The fourth proportional to 38,764.68, 53,503.59 and 23,654.10 is: 32,647.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,764.68 : 53,503.59 = 23,654.10 : x
  2. Step 2: Convert to fraction form
    38,764.68/53,503.59 = 23,654.10/x
  3. Step 3: Cross multiply
    38,764.68x = 53,503.59 × 23,654.10
  4. Step 4: Simplify right side
    38,764.68x = 1,265,579,268.22
  5. Step 5: Solve for x
    x = 1,265,579,268.22/38,764.68
  6. Step 6: Final answer
    x = 32,647.74

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