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Finding the Fourth Proportional to 62,315.26, 85,981.92 and 39,646

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Solution

The fourth proportional to 62,315.26, 85,981.92 and 39,646 is: 54,703.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,315.26 : 85,981.92 = 39,646 : x
  2. Step 2: Convert to fraction form
    62,315.26/85,981.92 = 39,646/x
  3. Step 3: Cross multiply
    62,315.26x = 85,981.92 × 39,646
  4. Step 4: Simplify right side
    62,315.26x = 3,408,839,200.32
  5. Step 5: Solve for x
    x = 3,408,839,200.32/62,315.26
  6. Step 6: Final answer
    x = 54,703.12

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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.