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Finding the Fourth Proportional to 46,709.28, 64,458.80 and 29,942.28

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Solution

The fourth proportional to 46,709.28, 64,458.80 and 29,942.28 is: 41,320.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,709.28 : 64,458.80 = 29,942.28 : x
  2. Step 2: Convert to fraction form
    46,709.28/64,458.80 = 29,942.28/x
  3. Step 3: Cross multiply
    46,709.28x = 64,458.80 × 29,942.28
  4. Step 4: Simplify right side
    46,709.28x = 1,930,043,438.06
  5. Step 5: Solve for x
    x = 1,930,043,438.06/46,709.28
  6. Step 6: Final answer
    x = 41,320.34

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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.