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Finding the Fourth Proportional to 50,945.60, 76,426.08 and 15,888

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Solution

The fourth proportional to 50,945.60, 76,426.08 and 15,888 is: 23,834.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,945.60 : 76,426.08 = 15,888 : x
  2. Step 2: Convert to fraction form
    50,945.60/76,426.08 = 15,888/x
  3. Step 3: Cross multiply
    50,945.60x = 76,426.08 × 15,888
  4. Step 4: Simplify right side
    50,945.60x = 1,214,257,559.04
  5. Step 5: Solve for x
    x = 1,214,257,559.04/50,945.60
  6. Step 6: Final answer
    x = 23,834.40

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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.