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Finding the Fourth Proportional to 55,729, 83,586.78 and 14,176.36

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Solution

The fourth proportional to 55,729, 83,586.78 and 14,176.36 is: 21,262.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,729 : 83,586.78 = 14,176.36 : x
  2. Step 2: Convert to fraction form
    55,729/83,586.78 = 14,176.36/x
  3. Step 3: Cross multiply
    55,729x = 83,586.78 × 14,176.36
  4. Step 4: Simplify right side
    55,729x = 1,184,956,284.52
  5. Step 5: Solve for x
    x = 1,184,956,284.52/55,729
  6. Step 6: Final answer
    x = 21,262.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.