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Finding the Fourth Proportional to 50,041.78, 69,056.10 and 29,894.14

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Solution

The fourth proportional to 50,041.78, 69,056.10 and 29,894.14 is: 41,252.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,041.78 : 69,056.10 = 29,894.14 : x
  2. Step 2: Convert to fraction form
    50,041.78/69,056.10 = 29,894.14/x
  3. Step 3: Cross multiply
    50,041.78x = 69,056.10 × 29,894.14
  4. Step 4: Simplify right side
    50,041.78x = 2,064,372,721.25
  5. Step 5: Solve for x
    x = 2,064,372,721.25/50,041.78
  6. Step 6: Final answer
    x = 41,252.98

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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.