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Finding the Fourth Proportional to 65,291.89, 97,950.12 and 46,525.37

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Solution

The fourth proportional to 65,291.89, 97,950.12 and 46,525.37 is: 69,796.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,291.89 : 97,950.12 = 46,525.37 : x
  2. Step 2: Convert to fraction form
    65,291.89/97,950.12 = 46,525.37/x
  3. Step 3: Cross multiply
    65,291.89x = 97,950.12 × 46,525.37
  4. Step 4: Simplify right side
    65,291.89x = 4,557,165,626.58
  5. Step 5: Solve for x
    x = 4,557,165,626.58/65,291.89
  6. Step 6: Final answer
    x = 69,796.81

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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.