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Finding the Fourth Proportional to 31,223.66, 46,824.91 and 10,158.50

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Solution

The fourth proportional to 31,223.66, 46,824.91 and 10,158.50 is: 15,234.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,223.66 : 46,824.91 = 10,158.50 : x
  2. Step 2: Convert to fraction form
    31,223.66/46,824.91 = 10,158.50/x
  3. Step 3: Cross multiply
    31,223.66x = 46,824.91 × 10,158.50
  4. Step 4: Simplify right side
    31,223.66x = 475,670,588.71
  5. Step 5: Solve for x
    x = 475,670,588.71/31,223.66
  6. Step 6: Final answer
    x = 15,234.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.