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Finding the Fourth Proportional to 36,014.54, 49,702.56 and 20,102.10

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Solution

The fourth proportional to 36,014.54, 49,702.56 and 20,102.10 is: 27,742.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,014.54 : 49,702.56 = 20,102.10 : x
  2. Step 2: Convert to fraction form
    36,014.54/49,702.56 = 20,102.10/x
  3. Step 3: Cross multiply
    36,014.54x = 49,702.56 × 20,102.10
  4. Step 4: Simplify right side
    36,014.54x = 999,125,831.38
  5. Step 5: Solve for x
    x = 999,125,831.38/36,014.54
  6. Step 6: Final answer
    x = 27,742.29

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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.