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Finding the Fourth Proportional to 49,527.68, 74,290.56 and 12,088

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Solution

The fourth proportional to 49,527.68, 74,290.56 and 12,088 is: 18,131.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,527.68 : 74,290.56 = 12,088 : x
  2. Step 2: Convert to fraction form
    49,527.68/74,290.56 = 12,088/x
  3. Step 3: Cross multiply
    49,527.68x = 74,290.56 × 12,088
  4. Step 4: Simplify right side
    49,527.68x = 898,024,289.28
  5. Step 5: Solve for x
    x = 898,024,289.28/49,527.68
  6. Step 6: Final answer
    x = 18,131.77

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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.