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Finding the Fourth Proportional to 49,548.74, 74,304.48 and 19,956.48

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Solution

The fourth proportional to 49,548.74, 74,304.48 and 19,956.48 is: 29,927.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,548.74 : 74,304.48 = 19,956.48 : x
  2. Step 2: Convert to fraction form
    49,548.74/74,304.48 = 19,956.48/x
  3. Step 3: Cross multiply
    49,548.74x = 74,304.48 × 19,956.48
  4. Step 4: Simplify right side
    49,548.74x = 1,482,855,869.03
  5. Step 5: Solve for x
    x = 1,482,855,869.03/49,548.74
  6. Step 6: Final answer
    x = 29,927.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.