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Finding the Fourth Proportional to 30,849.80, 42,572.66 and 16,702.67

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Solution

The fourth proportional to 30,849.80, 42,572.66 and 16,702.67 is: 23,049.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,849.80 : 42,572.66 = 16,702.67 : x
  2. Step 2: Convert to fraction form
    30,849.80/42,572.66 = 16,702.67/x
  3. Step 3: Cross multiply
    30,849.80x = 42,572.66 × 16,702.67
  4. Step 4: Simplify right side
    30,849.80x = 711,077,113.92
  5. Step 5: Solve for x
    x = 711,077,113.92/30,849.80
  6. Step 6: Final answer
    x = 23,049.65

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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.