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Finding the Fourth Proportional to 75,842.66, 104,683.69 and 44,021.81

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Solution

The fourth proportional to 75,842.66, 104,683.69 and 44,021.81 is: 60,762.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,842.66 : 104,683.69 = 44,021.81 : x
  2. Step 2: Convert to fraction form
    75,842.66/104,683.69 = 44,021.81/x
  3. Step 3: Cross multiply
    75,842.66x = 104,683.69 × 44,021.81
  4. Step 4: Simplify right side
    75,842.66x = 4,608,365,828.02
  5. Step 5: Solve for x
    x = 4,608,365,828.02/75,842.66
  6. Step 6: Final answer
    x = 60,762.18

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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.