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Finding the Fourth Proportional to 76,817.34, 106,015.77 and 42,831.36

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Solution

The fourth proportional to 76,817.34, 106,015.77 and 42,831.36 is: 59,111.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,817.34 : 106,015.77 = 42,831.36 : x
  2. Step 2: Convert to fraction form
    76,817.34/106,015.77 = 42,831.36/x
  3. Step 3: Cross multiply
    76,817.34x = 106,015.77 × 42,831.36
  4. Step 4: Simplify right side
    76,817.34x = 4,540,799,610.55
  5. Step 5: Solve for x
    x = 4,540,799,610.55/76,817.34
  6. Step 6: Final answer
    x = 59,111.65

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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.