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Finding the Fourth Proportional to 30,436.70, 45,590.46 and 19,869.38

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Solution

The fourth proportional to 30,436.70, 45,590.46 and 19,869.38 is: 29,761.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,436.70 : 45,590.46 = 19,869.38 : x
  2. Step 2: Convert to fraction form
    30,436.70/45,590.46 = 19,869.38/x
  3. Step 3: Cross multiply
    30,436.70x = 45,590.46 × 19,869.38
  4. Step 4: Simplify right side
    30,436.70x = 905,854,174.11
  5. Step 5: Solve for x
    x = 905,854,174.11/30,436.70
  6. Step 6: Final answer
    x = 29,761.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.