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Finding the Fourth Proportional to 31,460.50, 47,193.45 and 10,400.50

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Solution

The fourth proportional to 31,460.50, 47,193.45 and 10,400.50 is: 15,601.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,460.50 : 47,193.45 = 10,400.50 : x
  2. Step 2: Convert to fraction form
    31,460.50/47,193.45 = 10,400.50/x
  3. Step 3: Cross multiply
    31,460.50x = 47,193.45 × 10,400.50
  4. Step 4: Simplify right side
    31,460.50x = 490,835,476.73
  5. Step 5: Solve for x
    x = 490,835,476.73/31,460.50
  6. Step 6: Final answer
    x = 15,601.64

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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.