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Finding the Fourth Proportional to 114,707, 172,060.50 and 31,601

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Solution

The fourth proportional to 114,707, 172,060.50 and 31,601 is: 47,401.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,707 : 172,060.50 = 31,601 : x
  2. Step 2: Convert to fraction form
    114,707/172,060.50 = 31,601/x
  3. Step 3: Cross multiply
    114,707x = 172,060.50 × 31,601
  4. Step 4: Simplify right side
    114,707x = 5,437,283,860.50
  5. Step 5: Solve for x
    x = 5,437,283,860.50/114,707
  6. Step 6: Final answer
    x = 47,401.50

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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.