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Finding the Fourth Proportional to 45,209.40, 67,838.40 and 18,916.80

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Solution

The fourth proportional to 45,209.40, 67,838.40 and 18,916.80 is: 28,385.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,209.40 : 67,838.40 = 18,916.80 : x
  2. Step 2: Convert to fraction form
    45,209.40/67,838.40 = 18,916.80/x
  3. Step 3: Cross multiply
    45,209.40x = 67,838.40 × 18,916.80
  4. Step 4: Simplify right side
    45,209.40x = 1,283,285,445.12
  5. Step 5: Solve for x
    x = 1,283,285,445.12/45,209.40
  6. Step 6: Final answer
    x = 28,385.37

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Why These Related Problems?

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