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Finding the Fourth Proportional to 38,742.32, 53,296.62 and 33,940.64

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Solution

The fourth proportional to 38,742.32, 53,296.62 and 33,940.64 is: 46,691.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,742.32 : 53,296.62 = 33,940.64 : x
  2. Step 2: Convert to fraction form
    38,742.32/53,296.62 = 33,940.64/x
  3. Step 3: Cross multiply
    38,742.32x = 53,296.62 × 33,940.64
  4. Step 4: Simplify right side
    38,742.32x = 1,808,921,126.15
  5. Step 5: Solve for x
    x = 1,808,921,126.15/38,742.32
  6. Step 6: Final answer
    x = 46,691.10

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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.