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Finding the Fourth Proportional to 65,149.80, 97,739.04 and 37,083.06

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Solution

The fourth proportional to 65,149.80, 97,739.04 and 37,083.06 is: 55,632.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,149.80 : 97,739.04 = 37,083.06 : x
  2. Step 2: Convert to fraction form
    65,149.80/97,739.04 = 37,083.06/x
  3. Step 3: Cross multiply
    65,149.80x = 97,739.04 × 37,083.06
  4. Step 4: Simplify right side
    65,149.80x = 3,624,462,684.66
  5. Step 5: Solve for x
    x = 3,624,462,684.66/65,149.80
  6. Step 6: Final answer
    x = 55,632.75

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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.