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Finding the Fourth Proportional to 31,999.69, 48,005.19 and 10,934.80

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Solution

The fourth proportional to 31,999.69, 48,005.19 and 10,934.80 is: 16,404.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,999.69 : 48,005.19 = 10,934.80 : x
  2. Step 2: Convert to fraction form
    31,999.69/48,005.19 = 10,934.80/x
  3. Step 3: Cross multiply
    31,999.69x = 48,005.19 × 10,934.80
  4. Step 4: Simplify right side
    31,999.69x = 524,927,151.61
  5. Step 5: Solve for x
    x = 524,927,151.61/31,999.69
  6. Step 6: Final answer
    x = 16,404.13

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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.