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Finding the Fourth Proportional to 51,729.04, 77,544.08 and 16,644

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Solution

The fourth proportional to 51,729.04, 77,544.08 and 16,644 is: 24,950.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,729.04 : 77,544.08 = 16,644 : x
  2. Step 2: Convert to fraction form
    51,729.04/77,544.08 = 16,644/x
  3. Step 3: Cross multiply
    51,729.04x = 77,544.08 × 16,644
  4. Step 4: Simplify right side
    51,729.04x = 1,290,643,667.52
  5. Step 5: Solve for x
    x = 1,290,643,667.52/51,729.04
  6. Step 6: Final answer
    x = 24,950.08

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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.