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Finding the Fourth Proportional to 30,862.62, 42,590.45 and 16,715.48

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Solution

The fourth proportional to 30,862.62, 42,590.45 and 16,715.48 is: 23,067.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,862.62 : 42,590.45 = 16,715.48 : x
  2. Step 2: Convert to fraction form
    30,862.62/42,590.45 = 16,715.48/x
  3. Step 3: Cross multiply
    30,862.62x = 42,590.45 × 16,715.48
  4. Step 4: Simplify right side
    30,862.62x = 711,919,815.17
  5. Step 5: Solve for x
    x = 711,919,815.17/30,862.62
  6. Step 6: Final answer
    x = 23,067.38

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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.