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Finding the Fourth Proportional to 46,441.40, 64,107.46 and 31,343

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Solution

The fourth proportional to 46,441.40, 64,107.46 and 31,343 is: 43,265.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,441.40 : 64,107.46 = 31,343 : x
  2. Step 2: Convert to fraction form
    46,441.40/64,107.46 = 31,343/x
  3. Step 3: Cross multiply
    46,441.40x = 64,107.46 × 31,343
  4. Step 4: Simplify right side
    46,441.40x = 2,009,320,118.78
  5. Step 5: Solve for x
    x = 2,009,320,118.78/46,441.40
  6. Step 6: Final answer
    x = 43,265.71

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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.