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Finding the Fourth Proportional to 31,885.22, 47,829.78 and 9,700.24

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Solution

The fourth proportional to 31,885.22, 47,829.78 and 9,700.24 is: 14,550.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,885.22 : 47,829.78 = 9,700.24 : x
  2. Step 2: Convert to fraction form
    31,885.22/47,829.78 = 9,700.24/x
  3. Step 3: Cross multiply
    31,885.22x = 47,829.78 × 9,700.24
  4. Step 4: Simplify right side
    31,885.22x = 463,960,345.15
  5. Step 5: Solve for x
    x = 463,960,345.15/31,885.22
  6. Step 6: Final answer
    x = 14,550.95

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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.