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Finding the Fourth Proportional to 76,505.80, 105,575.89 and 42,513.41

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Solution

The fourth proportional to 76,505.80, 105,575.89 and 42,513.41 is: 58,667.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,505.80 : 105,575.89 = 42,513.41 : x
  2. Step 2: Convert to fraction form
    76,505.80/105,575.89 = 42,513.41/x
  3. Step 3: Cross multiply
    76,505.80x = 105,575.89 × 42,513.41
  4. Step 4: Simplify right side
    76,505.80x = 4,488,391,097.68
  5. Step 5: Solve for x
    x = 4,488,391,097.68/76,505.80
  6. Step 6: Final answer
    x = 58,667.33

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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.