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Finding the Fourth Proportional to 31,477.50, 47,216.25 and 9,589.50

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Solution

The fourth proportional to 31,477.50, 47,216.25 and 9,589.50 is: 14,384.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,477.50 : 47,216.25 = 9,589.50 : x
  2. Step 2: Convert to fraction form
    31,477.50/47,216.25 = 9,589.50/x
  3. Step 3: Cross multiply
    31,477.50x = 47,216.25 × 9,589.50
  4. Step 4: Simplify right side
    31,477.50x = 452,780,229.38
  5. Step 5: Solve for x
    x = 452,780,229.38/31,477.50
  6. Step 6: Final answer
    x = 14,384.25

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Double scale
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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.