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Finding the Fourth Proportional to 30,849.19, 42,572.18 and 16,702.34

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Solution

The fourth proportional to 30,849.19, 42,572.18 and 16,702.34 is: 23,049.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,849.19 : 42,572.18 = 16,702.34 : x
  2. Step 2: Convert to fraction form
    30,849.19/42,572.18 = 16,702.34/x
  3. Step 3: Cross multiply
    30,849.19x = 42,572.18 × 16,702.34
  4. Step 4: Simplify right side
    30,849.19x = 711,054,853.80
  5. Step 5: Solve for x
    x = 711,054,853.80/30,849.19
  6. Step 6: Final answer
    x = 23,049.39

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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.