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Finding the Fourth Proportional to 34,831.16, 48,092.04 and 21,420.44

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Solution

The fourth proportional to 34,831.16, 48,092.04 and 21,420.44 is: 29,575.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,831.16 : 48,092.04 = 21,420.44 : x
  2. Step 2: Convert to fraction form
    34,831.16/48,092.04 = 21,420.44/x
  3. Step 3: Cross multiply
    34,831.16x = 48,092.04 × 21,420.44
  4. Step 4: Simplify right side
    34,831.16x = 1,030,152,657.30
  5. Step 5: Solve for x
    x = 1,030,152,657.30/34,831.16
  6. Step 6: Final answer
    x = 29,575.61

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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.