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Finding the Fourth Proportional to 30,577.38, 42,157.29 and 19,803.12

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Solution

The fourth proportional to 30,577.38, 42,157.29 and 19,803.12 is: 27,302.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,577.38 : 42,157.29 = 19,803.12 : x
  2. Step 2: Convert to fraction form
    30,577.38/42,157.29 = 19,803.12/x
  3. Step 3: Cross multiply
    30,577.38x = 42,157.29 × 19,803.12
  4. Step 4: Simplify right side
    30,577.38x = 834,845,872.74
  5. Step 5: Solve for x
    x = 834,845,872.74/30,577.38
  6. Step 6: Final answer
    x = 27,302.73

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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.