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Finding the Fourth Proportional to 50,117.70, 75,176.55 and 31,090.80

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Solution

The fourth proportional to 50,117.70, 75,176.55 and 31,090.80 is: 46,636.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,117.70 : 75,176.55 = 31,090.80 : x
  2. Step 2: Convert to fraction form
    50,117.70/75,176.55 = 31,090.80/x
  3. Step 3: Cross multiply
    50,117.70x = 75,176.55 × 31,090.80
  4. Step 4: Simplify right side
    50,117.70x = 2,337,299,080.74
  5. Step 5: Solve for x
    x = 2,337,299,080.74/50,117.70
  6. Step 6: Final answer
    x = 46,636.20

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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.