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Finding the Fourth Proportional to 61,935.84, 92,969.28 and 38,578.32

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Solution

The fourth proportional to 61,935.84, 92,969.28 and 38,578.32 is: 57,908.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,935.84 : 92,969.28 = 38,578.32 : x
  2. Step 2: Convert to fraction form
    61,935.84/92,969.28 = 38,578.32/x
  3. Step 3: Cross multiply
    61,935.84x = 92,969.28 × 38,578.32
  4. Step 4: Simplify right side
    61,935.84x = 3,586,598,634.01
  5. Step 5: Solve for x
    x = 3,586,598,634.01/61,935.84
  6. Step 6: Final answer
    x = 57,908.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.