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Finding the Fourth Proportional to 30,885.65, 42,622.35 and 16,738.46

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Solution

The fourth proportional to 30,885.65, 42,622.35 and 16,738.46 is: 23,099.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,885.65 : 42,622.35 = 16,738.46 : x
  2. Step 2: Convert to fraction form
    30,885.65/42,622.35 = 16,738.46/x
  3. Step 3: Cross multiply
    30,885.65x = 42,622.35 × 16,738.46
  4. Step 4: Simplify right side
    30,885.65x = 713,432,500.58
  5. Step 5: Solve for x
    x = 713,432,500.58/30,885.65
  6. Step 6: Final answer
    x = 23,099.16

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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.