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Finding the Fourth Proportional to 43,897.44, 65,833.44 and 31,312.80

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Solution

The fourth proportional to 43,897.44, 65,833.44 and 31,312.80 is: 46,960.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,897.44 : 65,833.44 = 31,312.80 : x
  2. Step 2: Convert to fraction form
    43,897.44/65,833.44 = 31,312.80/x
  3. Step 3: Cross multiply
    43,897.44x = 65,833.44 × 31,312.80
  4. Step 4: Simplify right side
    43,897.44x = 2,061,429,340.03
  5. Step 5: Solve for x
    x = 2,061,429,340.03/43,897.44
  6. Step 6: Final answer
    x = 46,960.13

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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.