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Finding the Fourth Proportional to 31,693.83, 47,541.14 and 8,322.63

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Solution

The fourth proportional to 31,693.83, 47,541.14 and 8,322.63 is: 12,484.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,693.83 : 47,541.14 = 8,322.63 : x
  2. Step 2: Convert to fraction form
    31,693.83/47,541.14 = 8,322.63/x
  3. Step 3: Cross multiply
    31,693.83x = 47,541.14 × 8,322.63
  4. Step 4: Simplify right side
    31,693.83x = 395,667,276.39
  5. Step 5: Solve for x
    x = 395,667,276.39/31,693.83
  6. Step 6: Final answer
    x = 12,484.05

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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.