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Finding the Fourth Proportional to 49,522.40, 74,283.76 and 12,586.40

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Solution

The fourth proportional to 49,522.40, 74,283.76 and 12,586.40 is: 18,879.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,522.40 : 74,283.76 = 12,586.40 : x
  2. Step 2: Convert to fraction form
    49,522.40/74,283.76 = 12,586.40/x
  3. Step 3: Cross multiply
    49,522.40x = 74,283.76 × 12,586.40
  4. Step 4: Simplify right side
    49,522.40x = 934,965,116.86
  5. Step 5: Solve for x
    x = 934,965,116.86/49,522.40
  6. Step 6: Final answer
    x = 18,879.64

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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.