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Finding the Fourth Proportional to 34,097.40, 47,063.16 and 30,554.46

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Solution

The fourth proportional to 34,097.40, 47,063.16 and 30,554.46 is: 42,172.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,097.40 : 47,063.16 = 30,554.46 : x
  2. Step 2: Convert to fraction form
    34,097.40/47,063.16 = 30,554.46/x
  3. Step 3: Cross multiply
    34,097.40x = 47,063.16 × 30,554.46
  4. Step 4: Simplify right side
    34,097.40x = 1,437,989,439.69
  5. Step 5: Solve for x
    x = 1,437,989,439.69/34,097.40
  6. Step 6: Final answer
    x = 42,172.99

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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.