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Finding the Fourth Proportional to 31,169.76, 46,760.74 and 11,448.47

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Solution

The fourth proportional to 31,169.76, 46,760.74 and 11,448.47 is: 17,174.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,169.76 : 46,760.74 = 11,448.47 : x
  2. Step 2: Convert to fraction form
    31,169.76/46,760.74 = 11,448.47/x
  3. Step 3: Cross multiply
    31,169.76x = 46,760.74 × 11,448.47
  4. Step 4: Simplify right side
    31,169.76x = 535,338,666.64
  5. Step 5: Solve for x
    x = 535,338,666.64/31,169.76
  6. Step 6: Final answer
    x = 17,174.94

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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.