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Finding the Fourth Proportional to 50,615.63, 75,928.95 and 31,020.11

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Solution

The fourth proportional to 50,615.63, 75,928.95 and 31,020.11 is: 46,533.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,615.63 : 75,928.95 = 31,020.11 : x
  2. Step 2: Convert to fraction form
    50,615.63/75,928.95 = 31,020.11/x
  3. Step 3: Cross multiply
    50,615.63x = 75,928.95 × 31,020.11
  4. Step 4: Simplify right side
    50,615.63x = 2,355,324,381.18
  5. Step 5: Solve for x
    x = 2,355,324,381.18/50,615.63
  6. Step 6: Final answer
    x = 46,533.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.