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Finding the Fourth Proportional to 30,123.98, 41,570.16 and 16,695.80

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Solution

The fourth proportional to 30,123.98, 41,570.16 and 16,695.80 is: 23,039.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,123.98 : 41,570.16 = 16,695.80 : x
  2. Step 2: Convert to fraction form
    30,123.98/41,570.16 = 16,695.80/x
  3. Step 3: Cross multiply
    30,123.98x = 41,570.16 × 16,695.80
  4. Step 4: Simplify right side
    30,123.98x = 694,047,077.33
  5. Step 5: Solve for x
    x = 694,047,077.33/30,123.98
  6. Step 6: Final answer
    x = 23,039.69

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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.