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Finding the Fourth Proportional to 31,234.61, 46,850.60 and 9,047.50

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Solution

The fourth proportional to 31,234.61, 46,850.60 and 9,047.50 is: 13,570.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,234.61 : 46,850.60 = 9,047.50 : x
  2. Step 2: Convert to fraction form
    31,234.61/46,850.60 = 9,047.50/x
  3. Step 3: Cross multiply
    31,234.61x = 46,850.60 × 9,047.50
  4. Step 4: Simplify right side
    31,234.61x = 423,880,708.99
  5. Step 5: Solve for x
    x = 423,880,708.99/31,234.61
  6. Step 6: Final answer
    x = 13,570.86

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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.