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Finding the Fourth Proportional to 27,564.48, 37,961.28 and 27,478.08

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Solution

The fourth proportional to 27,564.48, 37,961.28 and 27,478.08 is: 37,842.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,564.48 : 37,961.28 = 27,478.08 : x
  2. Step 2: Convert to fraction form
    27,564.48/37,961.28 = 27,478.08/x
  3. Step 3: Cross multiply
    27,564.48x = 37,961.28 × 27,478.08
  4. Step 4: Simplify right side
    27,564.48x = 1,043,103,088.74
  5. Step 5: Solve for x
    x = 1,043,103,088.74/27,564.48
  6. Step 6: Final answer
    x = 37,842.29

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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.