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Finding the Fourth Proportional to 37,751.72, 52,075.86 and 23,405

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Solution

The fourth proportional to 37,751.72, 52,075.86 and 23,405 is: 32,285.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,751.72 : 52,075.86 = 23,405 : x
  2. Step 2: Convert to fraction form
    37,751.72/52,075.86 = 23,405/x
  3. Step 3: Cross multiply
    37,751.72x = 52,075.86 × 23,405
  4. Step 4: Simplify right side
    37,751.72x = 1,218,835,503.30
  5. Step 5: Solve for x
    x = 1,218,835,503.30/37,751.72
  6. Step 6: Final answer
    x = 32,285.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.