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Finding the Fourth Proportional to 75,465.80, 113,271.60 and 45,941.30

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Solution

The fourth proportional to 75,465.80, 113,271.60 and 45,941.30 is: 68,956.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,465.80 : 113,271.60 = 45,941.30 : x
  2. Step 2: Convert to fraction form
    75,465.80/113,271.60 = 45,941.30/x
  3. Step 3: Cross multiply
    75,465.80x = 113,271.60 × 45,941.30
  4. Step 4: Simplify right side
    75,465.80x = 5,203,844,557.08
  5. Step 5: Solve for x
    x = 5,203,844,557.08/75,465.80
  6. Step 6: Final answer
    x = 68,956.33

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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.