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Finding the Fourth Proportional to 51,498.45, 77,185.30 and 21,854.01

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Solution

The fourth proportional to 51,498.45, 77,185.30 and 21,854.01 is: 32,754.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,498.45 : 77,185.30 = 21,854.01 : x
  2. Step 2: Convert to fraction form
    51,498.45/77,185.30 = 21,854.01/x
  3. Step 3: Cross multiply
    51,498.45x = 77,185.30 × 21,854.01
  4. Step 4: Simplify right side
    51,498.45x = 1,686,808,318.05
  5. Step 5: Solve for x
    x = 1,686,808,318.05/51,498.45
  6. Step 6: Final answer
    x = 32,754.55

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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.