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Finding the Fourth Proportional to 35,767, 49,358.46 and 23,191.84

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Solution

The fourth proportional to 35,767, 49,358.46 and 23,191.84 is: 32,004.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,767 : 49,358.46 = 23,191.84 : x
  2. Step 2: Convert to fraction form
    35,767/49,358.46 = 23,191.84/x
  3. Step 3: Cross multiply
    35,767x = 49,358.46 × 23,191.84
  4. Step 4: Simplify right side
    35,767x = 1,144,713,506.97
  5. Step 5: Solve for x
    x = 1,144,713,506.97/35,767
  6. Step 6: Final answer
    x = 32,004.74

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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.