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Finding the Fourth Proportional to 37,348.14, 51,505.80 and 27,260.64

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Solution

The fourth proportional to 37,348.14, 51,505.80 and 27,260.64 is: 37,594.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,348.14 : 51,505.80 = 27,260.64 : x
  2. Step 2: Convert to fraction form
    37,348.14/51,505.80 = 27,260.64/x
  3. Step 3: Cross multiply
    37,348.14x = 51,505.80 × 27,260.64
  4. Step 4: Simplify right side
    37,348.14x = 1,404,081,071.71
  5. Step 5: Solve for x
    x = 1,404,081,071.71/37,348.14
  6. Step 6: Final answer
    x = 37,594.40

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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.