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Finding the Fourth Proportional to 29,570, 40,806.60 and 16,322

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Solution

The fourth proportional to 29,570, 40,806.60 and 16,322 is: 22,524.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,570 : 40,806.60 = 16,322 : x
  2. Step 2: Convert to fraction form
    29,570/40,806.60 = 16,322/x
  3. Step 3: Cross multiply
    29,570x = 40,806.60 × 16,322
  4. Step 4: Simplify right side
    29,570x = 666,045,325.20
  5. Step 5: Solve for x
    x = 666,045,325.20/29,570
  6. Step 6: Final answer
    x = 22,524.36

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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.