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Finding the Fourth Proportional to 38,000.41, 52,447.81 and 25,056.93

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Solution

The fourth proportional to 38,000.41, 52,447.81 and 25,056.93 is: 34,583.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,000.41 : 52,447.81 = 25,056.93 : x
  2. Step 2: Convert to fraction form
    38,000.41/52,447.81 = 25,056.93/x
  3. Step 3: Cross multiply
    38,000.41x = 52,447.81 × 25,056.93
  4. Step 4: Simplify right side
    38,000.41x = 1,314,181,103.82
  5. Step 5: Solve for x
    x = 1,314,181,103.82/38,000.41
  6. Step 6: Final answer
    x = 34,583.34

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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.