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Finding the Fourth Proportional to 69,971.52, 96,532.96 and 46,109.76

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Solution

The fourth proportional to 69,971.52, 96,532.96 and 46,109.76 is: 63,613.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,971.52 : 96,532.96 = 46,109.76 : x
  2. Step 2: Convert to fraction form
    69,971.52/96,532.96 = 46,109.76/x
  3. Step 3: Cross multiply
    69,971.52x = 96,532.96 × 46,109.76
  4. Step 4: Simplify right side
    69,971.52x = 4,451,111,617.69
  5. Step 5: Solve for x
    x = 4,451,111,617.69/69,971.52
  6. Step 6: Final answer
    x = 63,613.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.