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Finding the Fourth Proportional to 49,292.64, 73,963.80 and 19,719

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Solution

The fourth proportional to 49,292.64, 73,963.80 and 19,719 is: 29,588.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,292.64 : 73,963.80 = 19,719 : x
  2. Step 2: Convert to fraction form
    49,292.64/73,963.80 = 19,719/x
  3. Step 3: Cross multiply
    49,292.64x = 73,963.80 × 19,719
  4. Step 4: Simplify right side
    49,292.64x = 1,458,492,172.20
  5. Step 5: Solve for x
    x = 1,458,492,172.20/49,292.64
  6. Step 6: Final answer
    x = 29,588.44

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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.