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Finding the Fourth Proportional to 76,221.36, 105,189.38 and 46,006.26

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Solution

The fourth proportional to 76,221.36, 105,189.38 and 46,006.26 is: 63,490.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,221.36 : 105,189.38 = 46,006.26 : x
  2. Step 2: Convert to fraction form
    76,221.36/105,189.38 = 46,006.26/x
  3. Step 3: Cross multiply
    76,221.36x = 105,189.38 × 46,006.26
  4. Step 4: Simplify right side
    76,221.36x = 4,839,369,965.52
  5. Step 5: Solve for x
    x = 4,839,369,965.52/76,221.36
  6. Step 6: Final answer
    x = 63,490.99

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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.