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Finding the Fourth Proportional to 49,304.80, 73,964.40 and 16,019.20

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Solution

The fourth proportional to 49,304.80, 73,964.40 and 16,019.20 is: 24,031.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,304.80 : 73,964.40 = 16,019.20 : x
  2. Step 2: Convert to fraction form
    49,304.80/73,964.40 = 16,019.20/x
  3. Step 3: Cross multiply
    49,304.80x = 73,964.40 × 16,019.20
  4. Step 4: Simplify right side
    49,304.80x = 1,184,850,516.48
  5. Step 5: Solve for x
    x = 1,184,850,516.48/49,304.80
  6. Step 6: Final answer
    x = 24,031.14

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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.