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Finding the Fourth Proportional to 30,565.36, 42,198.60 and 19,972.72

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Solution

The fourth proportional to 30,565.36, 42,198.60 and 19,972.72 is: 27,574.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,565.36 : 42,198.60 = 19,972.72 : x
  2. Step 2: Convert to fraction form
    30,565.36/42,198.60 = 19,972.72/x
  3. Step 3: Cross multiply
    30,565.36x = 42,198.60 × 19,972.72
  4. Step 4: Simplify right side
    30,565.36x = 842,820,822.19
  5. Step 5: Solve for x
    x = 842,820,822.19/30,565.36
  6. Step 6: Final answer
    x = 27,574.38

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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.