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Finding the Fourth Proportional to 42,770.40, 64,165.20 and 25,231.20

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Solution

The fourth proportional to 42,770.40, 64,165.20 and 25,231.20 is: 37,852.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,770.40 : 64,165.20 = 25,231.20 : x
  2. Step 2: Convert to fraction form
    42,770.40/64,165.20 = 25,231.20/x
  3. Step 3: Cross multiply
    42,770.40x = 64,165.20 × 25,231.20
  4. Step 4: Simplify right side
    42,770.40x = 1,618,964,994.24
  5. Step 5: Solve for x
    x = 1,618,964,994.24/42,770.40
  6. Step 6: Final answer
    x = 37,852.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.