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Finding the Fourth Proportional to 30,577.40, 42,190.89 and 18,475.39

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Solution

The fourth proportional to 30,577.40, 42,190.89 and 18,475.39 is: 25,492.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,577.40 : 42,190.89 = 18,475.39 : x
  2. Step 2: Convert to fraction form
    30,577.40/42,190.89 = 18,475.39/x
  3. Step 3: Cross multiply
    30,577.40x = 42,190.89 × 18,475.39
  4. Step 4: Simplify right side
    30,577.40x = 779,492,936.24
  5. Step 5: Solve for x
    x = 779,492,936.24/30,577.40
  6. Step 6: Final answer
    x = 25,492.46

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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.