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Finding the Fourth Proportional to 83,322, 114,985.44 and 45,595.44

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Solution

The fourth proportional to 83,322, 114,985.44 and 45,595.44 is: 62,922.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,322 : 114,985.44 = 45,595.44 : x
  2. Step 2: Convert to fraction form
    83,322/114,985.44 = 45,595.44/x
  3. Step 3: Cross multiply
    83,322x = 114,985.44 × 45,595.44
  4. Step 4: Simplify right side
    83,322x = 5,242,811,730.39
  5. Step 5: Solve for x
    x = 5,242,811,730.39/83,322
  6. Step 6: Final answer
    x = 62,922.30

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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.