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Finding the Fourth Proportional to 31,820.65, 43,917.29 and 22,897.69

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Solution

The fourth proportional to 31,820.65, 43,917.29 and 22,897.69 is: 31,602.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,820.65 : 43,917.29 = 22,897.69 : x
  2. Step 2: Convert to fraction form
    31,820.65/43,917.29 = 22,897.69/x
  3. Step 3: Cross multiply
    31,820.65x = 43,917.29 × 22,897.69
  4. Step 4: Simplify right side
    31,820.65x = 1,005,604,377.57
  5. Step 5: Solve for x
    x = 1,005,604,377.57/31,820.65
  6. Step 6: Final answer
    x = 31,602.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.