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Finding the Fourth Proportional to 34,427.30, 47,509.88 and 20,097.05

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Solution

The fourth proportional to 34,427.30, 47,509.88 and 20,097.05 is: 27,734.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,427.30 : 47,509.88 = 20,097.05 : x
  2. Step 2: Convert to fraction form
    34,427.30/47,509.88 = 20,097.05/x
  3. Step 3: Cross multiply
    34,427.30x = 47,509.88 × 20,097.05
  4. Step 4: Simplify right side
    34,427.30x = 954,808,095.82
  5. Step 5: Solve for x
    x = 954,808,095.82/34,427.30
  6. Step 6: Final answer
    x = 27,734.04

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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.