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Finding the Fourth Proportional to 49,886.94, 74,830.20 and 12,446.97

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Solution

The fourth proportional to 49,886.94, 74,830.20 and 12,446.97 is: 18,670.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,886.94 : 74,830.20 = 12,446.97 : x
  2. Step 2: Convert to fraction form
    49,886.94/74,830.20 = 12,446.97/x
  3. Step 3: Cross multiply
    49,886.94x = 74,830.20 × 12,446.97
  4. Step 4: Simplify right side
    49,886.94x = 931,409,254.49
  5. Step 5: Solve for x
    x = 931,409,254.49/49,886.94
  6. Step 6: Final answer
    x = 18,670.40

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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.