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Finding the Fourth Proportional to 35,832.98, 53,749.37 and 9,537.75

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Solution

The fourth proportional to 35,832.98, 53,749.37 and 9,537.75 is: 14,306.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,832.98 : 53,749.37 = 9,537.75 : x
  2. Step 2: Convert to fraction form
    35,832.98/53,749.37 = 9,537.75/x
  3. Step 3: Cross multiply
    35,832.98x = 53,749.37 × 9,537.75
  4. Step 4: Simplify right side
    35,832.98x = 512,648,077.56
  5. Step 5: Solve for x
    x = 512,648,077.56/35,832.98
  6. Step 6: Final answer
    x = 14,306.60

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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.