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Finding the Fourth Proportional to 51,322.56, 70,826.56 and 28,968

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Solution

The fourth proportional to 51,322.56, 70,826.56 and 28,968 is: 39,976.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,322.56 : 70,826.56 = 28,968 : x
  2. Step 2: Convert to fraction form
    51,322.56/70,826.56 = 28,968/x
  3. Step 3: Cross multiply
    51,322.56x = 70,826.56 × 28,968
  4. Step 4: Simplify right side
    51,322.56x = 2,051,703,790.08
  5. Step 5: Solve for x
    x = 2,051,703,790.08/51,322.56
  6. Step 6: Final answer
    x = 39,976.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.