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Finding the Fourth Proportional to 78,344.01, 117,535.32 and 22,940.01

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Solution

The fourth proportional to 78,344.01, 117,535.32 and 22,940.01 is: 34,415.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,344.01 : 117,535.32 = 22,940.01 : x
  2. Step 2: Convert to fraction form
    78,344.01/117,535.32 = 22,940.01/x
  3. Step 3: Cross multiply
    78,344.01x = 117,535.32 × 22,940.01
  4. Step 4: Simplify right side
    78,344.01x = 2,696,261,416.15
  5. Step 5: Solve for x
    x = 2,696,261,416.15/78,344.01
  6. Step 6: Final answer
    x = 34,415.67

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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.