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Finding the Fourth Proportional to 56,418.84, 84,539.22 and 20,831.16

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Solution

The fourth proportional to 56,418.84, 84,539.22 and 20,831.16 is: 31,213.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,418.84 : 84,539.22 = 20,831.16 : x
  2. Step 2: Convert to fraction form
    56,418.84/84,539.22 = 20,831.16/x
  3. Step 3: Cross multiply
    56,418.84x = 84,539.22 × 20,831.16
  4. Step 4: Simplify right side
    56,418.84x = 1,761,050,018.10
  5. Step 5: Solve for x
    x = 1,761,050,018.10/56,418.84
  6. Step 6: Final answer
    x = 31,213.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.