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Finding the Fourth Proportional to 35,689.32, 49,257.06 and 34,114.44

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Solution

The fourth proportional to 35,689.32, 49,257.06 and 34,114.44 is: 47,083.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,689.32 : 49,257.06 = 34,114.44 : x
  2. Step 2: Convert to fraction form
    35,689.32/49,257.06 = 34,114.44/x
  3. Step 3: Cross multiply
    35,689.32x = 49,257.06 × 34,114.44
  4. Step 4: Simplify right side
    35,689.32x = 1,680,377,017.95
  5. Step 5: Solve for x
    x = 1,680,377,017.95/35,689.32
  6. Step 6: Final answer
    x = 47,083.47

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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.