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Finding the Fourth Proportional to 31,959.72, 47,937.77 and 9,773.07

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Solution

The fourth proportional to 31,959.72, 47,937.77 and 9,773.07 is: 14,659.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,959.72 : 47,937.77 = 9,773.07 : x
  2. Step 2: Convert to fraction form
    31,959.72/47,937.77 = 9,773.07/x
  3. Step 3: Cross multiply
    31,959.72x = 47,937.77 × 9,773.07
  4. Step 4: Simplify right side
    31,959.72x = 468,499,132.99
  5. Step 5: Solve for x
    x = 468,499,132.99/31,959.72
  6. Step 6: Final answer
    x = 14,659.05

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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.