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Finding the Fourth Proportional to 30,834, 42,550.92 and 16,686.95

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Solution

The fourth proportional to 30,834, 42,550.92 and 16,686.95 is: 23,027.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,834 : 42,550.92 = 16,686.95 : x
  2. Step 2: Convert to fraction form
    30,834/42,550.92 = 16,686.95/x
  3. Step 3: Cross multiply
    30,834x = 42,550.92 × 16,686.95
  4. Step 4: Simplify right side
    30,834x = 710,044,861.74
  5. Step 5: Solve for x
    x = 710,044,861.74/30,834
  6. Step 6: Final answer
    x = 23,027.98

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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.