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Finding the Fourth Proportional to 53,294.40, 80,114.40 and 37,819.20

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Solution

The fourth proportional to 53,294.40, 80,114.40 and 37,819.20 is: 56,851.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,294.40 : 80,114.40 = 37,819.20 : x
  2. Step 2: Convert to fraction form
    53,294.40/80,114.40 = 37,819.20/x
  3. Step 3: Cross multiply
    53,294.40x = 80,114.40 × 37,819.20
  4. Step 4: Simplify right side
    53,294.40x = 3,029,862,516.48
  5. Step 5: Solve for x
    x = 3,029,862,516.48/53,294.40
  6. Step 6: Final answer
    x = 56,851.42

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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.