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Finding the Fourth Proportional to 34,057.68, 47,000.52 and 19,157.20

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Solution

The fourth proportional to 34,057.68, 47,000.52 and 19,157.20 is: 26,437.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,057.68 : 47,000.52 = 19,157.20 : x
  2. Step 2: Convert to fraction form
    34,057.68/47,000.52 = 19,157.20/x
  3. Step 3: Cross multiply
    34,057.68x = 47,000.52 × 19,157.20
  4. Step 4: Simplify right side
    34,057.68x = 900,398,361.74
  5. Step 5: Solve for x
    x = 900,398,361.74/34,057.68
  6. Step 6: Final answer
    x = 26,437.45

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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.