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Finding the Fourth Proportional to 30,833.58, 42,550.16 and 16,686.38

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Solution

The fourth proportional to 30,833.58, 42,550.16 and 16,686.38 is: 23,027.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,833.58 : 42,550.16 = 16,686.38 : x
  2. Step 2: Convert to fraction form
    30,833.58/42,550.16 = 16,686.38/x
  3. Step 3: Cross multiply
    30,833.58x = 42,550.16 × 16,686.38
  4. Step 4: Simplify right side
    30,833.58x = 710,008,138.82
  5. Step 5: Solve for x
    x = 710,008,138.82/30,833.58
  6. Step 6: Final answer
    x = 23,027.11

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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.