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Finding the Fourth Proportional to 35,671.16, 49,234.38 and 23,735

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Solution

The fourth proportional to 35,671.16, 49,234.38 and 23,735 is: 32,759.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,671.16 : 49,234.38 = 23,735 : x
  2. Step 2: Convert to fraction form
    35,671.16/49,234.38 = 23,735/x
  3. Step 3: Cross multiply
    35,671.16x = 49,234.38 × 23,735
  4. Step 4: Simplify right side
    35,671.16x = 1,168,578,009.30
  5. Step 5: Solve for x
    x = 1,168,578,009.30/35,671.16
  6. Step 6: Final answer
    x = 32,759.74

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Why These Related Problems?

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