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Finding the Fourth Proportional to 60,772.84, 83,863.02 and 33,913.24

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Solution

The fourth proportional to 60,772.84, 83,863.02 and 33,913.24 is: 46,798.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,772.84 : 83,863.02 = 33,913.24 : x
  2. Step 2: Convert to fraction form
    60,772.84/83,863.02 = 33,913.24/x
  3. Step 3: Cross multiply
    60,772.84x = 83,863.02 × 33,913.24
  4. Step 4: Simplify right side
    60,772.84x = 2,844,066,724.38
  5. Step 5: Solve for x
    x = 2,844,066,724.38/60,772.84
  6. Step 6: Final answer
    x = 46,798.32

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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.