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Finding the Fourth Proportional to 58,643.55, 80,914.01 and 34,776.09

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Solution

The fourth proportional to 58,643.55, 80,914.01 and 34,776.09 is: 47,982.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,643.55 : 80,914.01 = 34,776.09 : x
  2. Step 2: Convert to fraction form
    58,643.55/80,914.01 = 34,776.09/x
  3. Step 3: Cross multiply
    58,643.55x = 80,914.01 × 34,776.09
  4. Step 4: Simplify right side
    58,643.55x = 2,813,872,720.14
  5. Step 5: Solve for x
    x = 2,813,872,720.14/58,643.55
  6. Step 6: Final answer
    x = 47,982.65

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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.