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Finding the Fourth Proportional to 32,947.16, 45,464.22 and 19,516.14

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Solution

The fourth proportional to 32,947.16, 45,464.22 and 19,516.14 is: 26,930.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,947.16 : 45,464.22 = 19,516.14 : x
  2. Step 2: Convert to fraction form
    32,947.16/45,464.22 = 19,516.14/x
  3. Step 3: Cross multiply
    32,947.16x = 45,464.22 × 19,516.14
  4. Step 4: Simplify right side
    32,947.16x = 887,286,082.51
  5. Step 5: Solve for x
    x = 887,286,082.51/32,947.16
  6. Step 6: Final answer
    x = 26,930.58

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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.