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Finding the Fourth Proportional to 56,503.20, 84,793.20 and 31,543.20

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Solution

The fourth proportional to 56,503.20, 84,793.20 and 31,543.20 is: 47,336.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,503.20 : 84,793.20 = 31,543.20 : x
  2. Step 2: Convert to fraction form
    56,503.20/84,793.20 = 31,543.20/x
  3. Step 3: Cross multiply
    56,503.20x = 84,793.20 × 31,543.20
  4. Step 4: Simplify right side
    56,503.20x = 2,674,648,866.24
  5. Step 5: Solve for x
    x = 2,674,648,866.24/56,503.20
  6. Step 6: Final answer
    x = 47,336.24

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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.