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Finding the Fourth Proportional to 30,862.50, 42,590.55 and 16,715.66

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Solution

The fourth proportional to 30,862.50, 42,590.55 and 16,715.66 is: 23,067.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,862.50 : 42,590.55 = 16,715.66 : x
  2. Step 2: Convert to fraction form
    30,862.50/42,590.55 = 16,715.66/x
  3. Step 3: Cross multiply
    30,862.50x = 42,590.55 × 16,715.66
  4. Step 4: Simplify right side
    30,862.50x = 711,928,940.06
  5. Step 5: Solve for x
    x = 711,928,940.06/30,862.50
  6. Step 6: Final answer
    x = 23,067.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.