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Finding the Fourth Proportional to 31,285.80, 46,923.80 and 10,225.67

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Solution

The fourth proportional to 31,285.80, 46,923.80 and 10,225.67 is: 15,336.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,285.80 : 46,923.80 = 10,225.67 : x
  2. Step 2: Convert to fraction form
    31,285.80/46,923.80 = 10,225.67/x
  3. Step 3: Cross multiply
    31,285.80x = 46,923.80 × 10,225.67
  4. Step 4: Simplify right side
    31,285.80x = 479,827,008.20
  5. Step 5: Solve for x
    x = 479,827,008.20/31,285.80
  6. Step 6: Final answer
    x = 15,336.89

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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.