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Finding the Fourth Proportional to 46,643.57, 64,317.31 and 31,509.97

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Solution

The fourth proportional to 46,643.57, 64,317.31 and 31,509.97 is: 43,449.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,643.57 : 64,317.31 = 31,509.97 : x
  2. Step 2: Convert to fraction form
    46,643.57/64,317.31 = 31,509.97/x
  3. Step 3: Cross multiply
    46,643.57x = 64,317.31 × 31,509.97
  4. Step 4: Simplify right side
    46,643.57x = 2,026,636,508.58
  5. Step 5: Solve for x
    x = 2,026,636,508.58/46,643.57
  6. Step 6: Final answer
    x = 43,449.43

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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.