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Finding the Fourth Proportional to 52,880.78, 72,977.52 and 29,008.46

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Solution

The fourth proportional to 52,880.78, 72,977.52 and 29,008.46 is: 40,032.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,880.78 : 72,977.52 = 29,008.46 : x
  2. Step 2: Convert to fraction form
    52,880.78/72,977.52 = 29,008.46/x
  3. Step 3: Cross multiply
    52,880.78x = 72,977.52 × 29,008.46
  4. Step 4: Simplify right side
    52,880.78x = 2,116,965,469.82
  5. Step 5: Solve for x
    x = 2,116,965,469.82/52,880.78
  6. Step 6: Final answer
    x = 40,032.80

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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.