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Finding the Fourth Proportional to 31,892.93, 47,841.84 and 9,708.20

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Solution

The fourth proportional to 31,892.93, 47,841.84 and 9,708.20 is: 14,563.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,892.93 : 47,841.84 = 9,708.20 : x
  2. Step 2: Convert to fraction form
    31,892.93/47,841.84 = 9,708.20/x
  3. Step 3: Cross multiply
    31,892.93x = 47,841.84 × 9,708.20
  4. Step 4: Simplify right side
    31,892.93x = 464,458,151.09
  5. Step 5: Solve for x
    x = 464,458,151.09/31,892.93
  6. Step 6: Final answer
    x = 14,563.04

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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.