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Finding the Fourth Proportional to 31,076.64, 42,885.74 and 16,929.48

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Solution

The fourth proportional to 31,076.64, 42,885.74 and 16,929.48 is: 23,362.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,076.64 : 42,885.74 = 16,929.48 : x
  2. Step 2: Convert to fraction form
    31,076.64/42,885.74 = 16,929.48/x
  3. Step 3: Cross multiply
    31,076.64x = 42,885.74 × 16,929.48
  4. Step 4: Simplify right side
    31,076.64x = 726,033,277.62
  5. Step 5: Solve for x
    x = 726,033,277.62/31,076.64
  6. Step 6: Final answer
    x = 23,362.67

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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.