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Finding the Fourth Proportional to 30,209.40, 45,314.10 and 19,711.80

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Solution

The fourth proportional to 30,209.40, 45,314.10 and 19,711.80 is: 29,567.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,209.40 : 45,314.10 = 19,711.80 : x
  2. Step 2: Convert to fraction form
    30,209.40/45,314.10 = 19,711.80/x
  3. Step 3: Cross multiply
    30,209.40x = 45,314.10 × 19,711.80
  4. Step 4: Simplify right side
    30,209.40x = 893,222,476.38
  5. Step 5: Solve for x
    x = 893,222,476.38/30,209.40
  6. Step 6: Final answer
    x = 29,567.70

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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.