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Finding the Fourth Proportional to 34,794.40, 52,148.40 and 31,079.20

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Solution

The fourth proportional to 34,794.40, 52,148.40 and 31,079.20 is: 46,580.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,794.40 : 52,148.40 = 31,079.20 : x
  2. Step 2: Convert to fraction form
    34,794.40/52,148.40 = 31,079.20/x
  3. Step 3: Cross multiply
    34,794.40x = 52,148.40 × 31,079.20
  4. Step 4: Simplify right side
    34,794.40x = 1,620,730,553.28
  5. Step 5: Solve for x
    x = 1,620,730,553.28/34,794.40
  6. Step 6: Final answer
    x = 46,580.21

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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.