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Finding the Fourth Proportional to 30,971.35, 42,738.87 and 16,824.16

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Solution

The fourth proportional to 30,971.35, 42,738.87 and 16,824.16 is: 23,216.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,971.35 : 42,738.87 = 16,824.16 : x
  2. Step 2: Convert to fraction form
    30,971.35/42,738.87 = 16,824.16/x
  3. Step 3: Cross multiply
    30,971.35x = 42,738.87 × 16,824.16
  4. Step 4: Simplify right side
    30,971.35x = 719,045,587.10
  5. Step 5: Solve for x
    x = 719,045,587.10/30,971.35
  6. Step 6: Final answer
    x = 23,216.48

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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.