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Finding the Fourth Proportional to 31,223.76, 46,835.72 and 11,493.76

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Solution

The fourth proportional to 31,223.76, 46,835.72 and 11,493.76 is: 17,240.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,223.76 : 46,835.72 = 11,493.76 : x
  2. Step 2: Convert to fraction form
    31,223.76/46,835.72 = 11,493.76/x
  3. Step 3: Cross multiply
    31,223.76x = 46,835.72 × 11,493.76
  4. Step 4: Simplify right side
    31,223.76x = 538,318,525.11
  5. Step 5: Solve for x
    x = 538,318,525.11/31,223.76
  6. Step 6: Final answer
    x = 17,240.67

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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.