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Finding the Fourth Proportional to 55,303.95, 82,961.31 and 22,016.24

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Solution

The fourth proportional to 55,303.95, 82,961.31 and 22,016.24 is: 33,026.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,303.95 : 82,961.31 = 22,016.24 : x
  2. Step 2: Convert to fraction form
    55,303.95/82,961.31 = 22,016.24/x
  3. Step 3: Cross multiply
    55,303.95x = 82,961.31 × 22,016.24
  4. Step 4: Simplify right side
    55,303.95x = 1,826,496,090.53
  5. Step 5: Solve for x
    x = 1,826,496,090.53/55,303.95
  6. Step 6: Final answer
    x = 33,026.50

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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.