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Finding the Fourth Proportional to 96,692, 133,435 and 58,974.08

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Solution

The fourth proportional to 96,692, 133,435 and 58,974.08 is: 81,384.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,692 : 133,435 = 58,974.08 : x
  2. Step 2: Convert to fraction form
    96,692/133,435 = 58,974.08/x
  3. Step 3: Cross multiply
    96,692x = 133,435 × 58,974.08
  4. Step 4: Simplify right side
    96,692x = 7,869,206,364.80
  5. Step 5: Solve for x
    x = 7,869,206,364.80/96,692
  6. Step 6: Final answer
    x = 81,384.25

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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.