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Finding the Fourth Proportional to 78,074, 117,093.45 and 35,913.57

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Solution

The fourth proportional to 78,074, 117,093.45 and 35,913.57 is: 53,862.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,074 : 117,093.45 = 35,913.57 : x
  2. Step 2: Convert to fraction form
    78,074/117,093.45 = 35,913.57/x
  3. Step 3: Cross multiply
    78,074x = 117,093.45 × 35,913.57
  4. Step 4: Simplify right side
    78,074x = 4,205,243,813.12
  5. Step 5: Solve for x
    x = 4,205,243,813.12/78,074
  6. Step 6: Final answer
    x = 53,862.28

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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.