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Finding the Fourth Proportional to 75,160, 103,724.04 and 41,626

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Solution

The fourth proportional to 75,160, 103,724.04 and 41,626 is: 57,445.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,160 : 103,724.04 = 41,626 : x
  2. Step 2: Convert to fraction form
    75,160/103,724.04 = 41,626/x
  3. Step 3: Cross multiply
    75,160x = 103,724.04 × 41,626
  4. Step 4: Simplify right side
    75,160x = 4,317,616,889.04
  5. Step 5: Solve for x
    x = 4,317,616,889.04/75,160
  6. Step 6: Final answer
    x = 57,445.67

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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.