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Finding the Fourth Proportional to 30,816.80, 42,536.40 and 19,642.40

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Solution

The fourth proportional to 30,816.80, 42,536.40 and 19,642.40 is: 27,112.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,816.80 : 42,536.40 = 19,642.40 : x
  2. Step 2: Convert to fraction form
    30,816.80/42,536.40 = 19,642.40/x
  3. Step 3: Cross multiply
    30,816.80x = 42,536.40 × 19,642.40
  4. Step 4: Simplify right side
    30,816.80x = 835,516,983.36
  5. Step 5: Solve for x
    x = 835,516,983.36/30,816.80
  6. Step 6: Final answer
    x = 27,112.39

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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.