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Finding the Fourth Proportional to 34,102.42, 47,061.48 and 19,952.53

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Solution

The fourth proportional to 34,102.42, 47,061.48 and 19,952.53 is: 27,534.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,102.42 : 47,061.48 = 19,952.53 : x
  2. Step 2: Convert to fraction form
    34,102.42/47,061.48 = 19,952.53/x
  3. Step 3: Cross multiply
    34,102.42x = 47,061.48 × 19,952.53
  4. Step 4: Simplify right side
    34,102.42x = 938,995,591.54
  5. Step 5: Solve for x
    x = 938,995,591.54/34,102.42
  6. Step 6: Final answer
    x = 27,534.57

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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.