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Finding the Fourth Proportional to 37,364.04, 51,566 and 27,916.20

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Solution

The fourth proportional to 37,364.04, 51,566 and 27,916.20 is: 38,527.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,364.04 : 51,566 = 27,916.20 : x
  2. Step 2: Convert to fraction form
    37,364.04/51,566 = 27,916.20/x
  3. Step 3: Cross multiply
    37,364.04x = 51,566 × 27,916.20
  4. Step 4: Simplify right side
    37,364.04x = 1,439,526,769.20
  5. Step 5: Solve for x
    x = 1,439,526,769.20/37,364.04
  6. Step 6: Final answer
    x = 38,527.06

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Why These Related Problems?

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