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Finding the Fourth Proportional to 65,896, 98,596 and 46,212.96

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Solution

The fourth proportional to 65,896, 98,596 and 46,212.96 is: 69,145.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,896 : 98,596 = 46,212.96 : x
  2. Step 2: Convert to fraction form
    65,896/98,596 = 46,212.96/x
  3. Step 3: Cross multiply
    65,896x = 98,596 × 46,212.96
  4. Step 4: Simplify right side
    65,896x = 4,556,413,004.16
  5. Step 5: Solve for x
    x = 4,556,413,004.16/65,896
  6. Step 6: Final answer
    x = 69,145.52

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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.