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Finding the Fourth Proportional to 76,507.81, 105,581.36 and 42,519.48

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Solution

The fourth proportional to 76,507.81, 105,581.36 and 42,519.48 is: 58,677.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,507.81 : 105,581.36 = 42,519.48 : x
  2. Step 2: Convert to fraction form
    76,507.81/105,581.36 = 42,519.48/x
  3. Step 3: Cross multiply
    76,507.81x = 105,581.36 × 42,519.48
  4. Step 4: Simplify right side
    76,507.81x = 4,489,264,589.98
  5. Step 5: Solve for x
    x = 4,489,264,589.98/76,507.81
  6. Step 6: Final answer
    x = 58,677.21

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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.