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Finding the Fourth Proportional to 35,878.46, 49,506.67 and 20,768.16

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Solution

The fourth proportional to 35,878.46, 49,506.67 and 20,768.16 is: 28,656.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,878.46 : 49,506.67 = 20,768.16 : x
  2. Step 2: Convert to fraction form
    35,878.46/49,506.67 = 20,768.16/x
  3. Step 3: Cross multiply
    35,878.46x = 49,506.67 × 20,768.16
  4. Step 4: Simplify right side
    35,878.46x = 1,028,162,443.63
  5. Step 5: Solve for x
    x = 1,028,162,443.63/35,878.46
  6. Step 6: Final answer
    x = 28,656.82

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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.