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Finding the Fourth Proportional to 35,735.68, 53,589.12 and 10,768

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Solution

The fourth proportional to 35,735.68, 53,589.12 and 10,768 is: 16,147.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,735.68 : 53,589.12 = 10,768 : x
  2. Step 2: Convert to fraction form
    35,735.68/53,589.12 = 10,768/x
  3. Step 3: Cross multiply
    35,735.68x = 53,589.12 × 10,768
  4. Step 4: Simplify right side
    35,735.68x = 577,047,644.16
  5. Step 5: Solve for x
    x = 577,047,644.16/35,735.68
  6. Step 6: Final answer
    x = 16,147.66

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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.