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Finding the Fourth Proportional to 55,027.86, 82,554.03 and 19,966.74

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Solution

The fourth proportional to 55,027.86, 82,554.03 and 19,966.74 is: 29,954.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,027.86 : 82,554.03 = 19,966.74 : x
  2. Step 2: Convert to fraction form
    55,027.86/82,554.03 = 19,966.74/x
  3. Step 3: Cross multiply
    55,027.86x = 82,554.03 × 19,966.74
  4. Step 4: Simplify right side
    55,027.86x = 1,648,334,852.96
  5. Step 5: Solve for x
    x = 1,648,334,852.96/55,027.86
  6. Step 6: Final answer
    x = 29,954.55

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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.