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Finding the Fourth Proportional to 52,551.91, 72,523.25 and 29,894.17

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Solution

The fourth proportional to 52,551.91, 72,523.25 and 29,894.17 is: 41,254.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,551.91 : 72,523.25 = 29,894.17 : x
  2. Step 2: Convert to fraction form
    52,551.91/72,523.25 = 29,894.17/x
  3. Step 3: Cross multiply
    52,551.91x = 72,523.25 × 29,894.17
  4. Step 4: Simplify right side
    52,551.91x = 2,168,022,364.45
  5. Step 5: Solve for x
    x = 2,168,022,364.45/52,551.91
  6. Step 6: Final answer
    x = 41,254.87

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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.