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Finding the Fourth Proportional to 76,875.33, 115,349.90 and 41,814.98

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Solution

The fourth proportional to 76,875.33, 115,349.90 and 41,814.98 is: 62,742.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,875.33 : 115,349.90 = 41,814.98 : x
  2. Step 2: Convert to fraction form
    76,875.33/115,349.90 = 41,814.98/x
  3. Step 3: Cross multiply
    76,875.33x = 115,349.90 × 41,814.98
  4. Step 4: Simplify right side
    76,875.33x = 4,823,354,174.69
  5. Step 5: Solve for x
    x = 4,823,354,174.69/76,875.33
  6. Step 6: Final answer
    x = 62,742.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.