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Finding the Fourth Proportional to 92,406.50, 138,609.89 and 22,285.81

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Solution

The fourth proportional to 92,406.50, 138,609.89 and 22,285.81 is: 33,428.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,406.50 : 138,609.89 = 22,285.81 : x
  2. Step 2: Convert to fraction form
    92,406.50/138,609.89 = 22,285.81/x
  3. Step 3: Cross multiply
    92,406.50x = 138,609.89 × 22,285.81
  4. Step 4: Simplify right side
    92,406.50x = 3,089,033,818.07
  5. Step 5: Solve for x
    x = 3,089,033,818.07/92,406.50
  6. Step 6: Final answer
    x = 33,428.75

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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.