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Finding the Fourth Proportional to 65,291.83, 97,950.03 and 46,525.31

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Solution

The fourth proportional to 65,291.83, 97,950.03 and 46,525.31 is: 69,796.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,291.83 : 97,950.03 = 46,525.31 : x
  2. Step 2: Convert to fraction form
    65,291.83/97,950.03 = 46,525.31/x
  3. Step 3: Cross multiply
    65,291.83x = 97,950.03 × 46,525.31
  4. Step 4: Simplify right side
    65,291.83x = 4,557,155,020.51
  5. Step 5: Solve for x
    x = 4,557,155,020.51/65,291.83
  6. Step 6: Final answer
    x = 69,796.72

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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.