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Finding the Fourth Proportional to 83,153.08, 114,745.26 and 45,419.32

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Solution

The fourth proportional to 83,153.08, 114,745.26 and 45,419.32 is: 62,675.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,153.08 : 114,745.26 = 45,419.32 : x
  2. Step 2: Convert to fraction form
    83,153.08/114,745.26 = 45,419.32/x
  3. Step 3: Cross multiply
    83,153.08x = 114,745.26 × 45,419.32
  4. Step 4: Simplify right side
    83,153.08x = 5,211,651,682.42
  5. Step 5: Solve for x
    x = 5,211,651,682.42/83,153.08
  6. Step 6: Final answer
    x = 62,675.39

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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.