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Finding the Fourth Proportional to 31,883.99, 47,833.10 and 9,699.09

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Solution

The fourth proportional to 31,883.99, 47,833.10 and 9,699.09 is: 14,550.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,883.99 : 47,833.10 = 9,699.09 : x
  2. Step 2: Convert to fraction form
    31,883.99/47,833.10 = 9,699.09/x
  3. Step 3: Cross multiply
    31,883.99x = 47,833.10 × 9,699.09
  4. Step 4: Simplify right side
    31,883.99x = 463,937,493.38
  5. Step 5: Solve for x
    x = 463,937,493.38/31,883.99
  6. Step 6: Final answer
    x = 14,550.80

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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.