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Finding the Fourth Proportional to 114,955.80, 172,433.67 and 31,849.80

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Solution

The fourth proportional to 114,955.80, 172,433.67 and 31,849.80 is: 47,774.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,955.80 : 172,433.67 = 31,849.80 : x
  2. Step 2: Convert to fraction form
    114,955.80/172,433.67 = 31,849.80/x
  3. Step 3: Cross multiply
    114,955.80x = 172,433.67 × 31,849.80
  4. Step 4: Simplify right side
    114,955.80x = 5,491,977,902.77
  5. Step 5: Solve for x
    x = 5,491,977,902.77/114,955.80
  6. Step 6: Final answer
    x = 47,774.69

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1.5x scale

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.