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Finding the Fourth Proportional to 55,706.76, 76,886.28 and 31,831.20

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Solution

The fourth proportional to 55,706.76, 76,886.28 and 31,831.20 is: 43,933.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,706.76 : 76,886.28 = 31,831.20 : x
  2. Step 2: Convert to fraction form
    55,706.76/76,886.28 = 31,831.20/x
  3. Step 3: Cross multiply
    55,706.76x = 76,886.28 × 31,831.20
  4. Step 4: Simplify right side
    55,706.76x = 2,447,382,555.94
  5. Step 5: Solve for x
    x = 2,447,382,555.94/55,706.76
  6. Step 6: Final answer
    x = 43,933.31

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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.