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Finding the Fourth Proportional to 52,831.16, 72,905.06 and 31,609.16

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Solution

The fourth proportional to 52,831.16, 72,905.06 and 31,609.16 is: 43,619.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,831.16 : 72,905.06 = 31,609.16 : x
  2. Step 2: Convert to fraction form
    52,831.16/72,905.06 = 31,609.16/x
  3. Step 3: Cross multiply
    52,831.16x = 72,905.06 × 31,609.16
  4. Step 4: Simplify right side
    52,831.16x = 2,304,467,706.35
  5. Step 5: Solve for x
    x = 2,304,467,706.35/52,831.16
  6. Step 6: Final answer
    x = 43,619.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.