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Finding the Fourth Proportional to 49,534.84, 74,302 and 12,095.12

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Solution

The fourth proportional to 49,534.84, 74,302 and 12,095.12 is: 18,142.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,534.84 : 74,302 = 12,095.12 : x
  2. Step 2: Convert to fraction form
    49,534.84/74,302 = 12,095.12/x
  3. Step 3: Cross multiply
    49,534.84x = 74,302 × 12,095.12
  4. Step 4: Simplify right side
    49,534.84x = 898,691,606.24
  5. Step 5: Solve for x
    x = 898,691,606.24/49,534.84
  6. Step 6: Final answer
    x = 18,142.62

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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.