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Finding the Fourth Proportional to 78,150.71, 117,069.06 and 35,971.85

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Solution

The fourth proportional to 78,150.71, 117,069.06 and 35,971.85 is: 53,885.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,150.71 : 117,069.06 = 35,971.85 : x
  2. Step 2: Convert to fraction form
    78,150.71/117,069.06 = 35,971.85/x
  3. Step 3: Cross multiply
    78,150.71x = 117,069.06 × 35,971.85
  4. Step 4: Simplify right side
    78,150.71x = 4,211,190,665.96
  5. Step 5: Solve for x
    x = 4,211,190,665.96/78,150.71
  6. Step 6: Final answer
    x = 53,885.51

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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.