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Finding the Fourth Proportional to 114,825.74, 172,241.85 and 31,719.74

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Solution

The fourth proportional to 114,825.74, 172,241.85 and 31,719.74 is: 47,580.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,825.74 : 172,241.85 = 31,719.74 : x
  2. Step 2: Convert to fraction form
    114,825.74/172,241.85 = 31,719.74/x
  3. Step 3: Cross multiply
    114,825.74x = 172,241.85 × 31,719.74
  4. Step 4: Simplify right side
    114,825.74x = 5,463,466,699.12
  5. Step 5: Solve for x
    x = 5,463,466,699.12/114,825.74
  6. Step 6: Final answer
    x = 47,580.51

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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.