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Finding the Fourth Proportional to 32,859.75, 49,293.71 and 12,866.66

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Solution

The fourth proportional to 32,859.75, 49,293.71 and 12,866.66 is: 19,301.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,859.75 : 49,293.71 = 12,866.66 : x
  2. Step 2: Convert to fraction form
    32,859.75/49,293.71 = 12,866.66/x
  3. Step 3: Cross multiply
    32,859.75x = 49,293.71 × 12,866.66
  4. Step 4: Simplify right side
    32,859.75x = 634,245,192.41
  5. Step 5: Solve for x
    x = 634,245,192.41/32,859.75
  6. Step 6: Final answer
    x = 19,301.59

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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.