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Finding the Fourth Proportional to 27,780, 41,492.64 and 25,143.36

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Solution

The fourth proportional to 27,780, 41,492.64 and 25,143.36 is: 37,554.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,780 : 41,492.64 = 25,143.36 : x
  2. Step 2: Convert to fraction form
    27,780/41,492.64 = 25,143.36/x
  3. Step 3: Cross multiply
    27,780x = 41,492.64 × 25,143.36
  4. Step 4: Simplify right side
    27,780x = 1,043,264,384.87
  5. Step 5: Solve for x
    x = 1,043,264,384.87/27,780
  6. Step 6: Final answer
    x = 37,554.51

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.