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Finding the Fourth Proportional to 46,646.31, 64,409.88 and 38,033.91

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Solution

The fourth proportional to 46,646.31, 64,409.88 and 38,033.91 is: 52,517.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,646.31 : 64,409.88 = 38,033.91 : x
  2. Step 2: Convert to fraction form
    46,646.31/64,409.88 = 38,033.91/x
  3. Step 3: Cross multiply
    46,646.31x = 64,409.88 × 38,033.91
  4. Step 4: Simplify right side
    46,646.31x = 2,449,759,579.03
  5. Step 5: Solve for x
    x = 2,449,759,579.03/46,646.31
  6. Step 6: Final answer
    x = 52,517.76

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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.