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Finding the Fourth Proportional to 114,955.72, 172,433.66 and 31,849.72

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Solution

The fourth proportional to 114,955.72, 172,433.66 and 31,849.72 is: 47,774.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,955.72 : 172,433.66 = 31,849.72 : x
  2. Step 2: Convert to fraction form
    114,955.72/172,433.66 = 31,849.72/x
  3. Step 3: Cross multiply
    114,955.72x = 172,433.66 × 31,849.72
  4. Step 4: Simplify right side
    114,955.72x = 5,491,963,789.58
  5. Step 5: Solve for x
    x = 5,491,963,789.58/114,955.72
  6. Step 6: Final answer
    x = 47,774.60

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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.