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Finding the Fourth Proportional to 29,647.68, 40,914.09 and 16,219.32

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Solution

The fourth proportional to 29,647.68, 40,914.09 and 16,219.32 is: 22,382.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,647.68 : 40,914.09 = 16,219.32 : x
  2. Step 2: Convert to fraction form
    29,647.68/40,914.09 = 16,219.32/x
  3. Step 3: Cross multiply
    29,647.68x = 40,914.09 × 16,219.32
  4. Step 4: Simplify right side
    29,647.68x = 663,598,718.22
  5. Step 5: Solve for x
    x = 663,598,718.22/29,647.68
  6. Step 6: Final answer
    x = 22,382.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.