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Finding the Fourth Proportional to 30,905.42, 42,649.44 and 16,758.24

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Solution

The fourth proportional to 30,905.42, 42,649.44 and 16,758.24 is: 23,126.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,905.42 : 42,649.44 = 16,758.24 : x
  2. Step 2: Convert to fraction form
    30,905.42/42,649.44 = 16,758.24/x
  3. Step 3: Cross multiply
    30,905.42x = 42,649.44 × 16,758.24
  4. Step 4: Simplify right side
    30,905.42x = 714,729,551.39
  5. Step 5: Solve for x
    x = 714,729,551.39/30,905.42
  6. Step 6: Final answer
    x = 23,126.35

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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.