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Finding the Fourth Proportional to 46,441.80, 64,086.66 and 29,673

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Solution

The fourth proportional to 46,441.80, 64,086.66 and 29,673 is: 40,946.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,441.80 : 64,086.66 = 29,673 : x
  2. Step 2: Convert to fraction form
    46,441.80/64,086.66 = 29,673/x
  3. Step 3: Cross multiply
    46,441.80x = 64,086.66 × 29,673
  4. Step 4: Simplify right side
    46,441.80x = 1,901,643,462.18
  5. Step 5: Solve for x
    x = 1,901,643,462.18/46,441.80
  6. Step 6: Final answer
    x = 40,946.81

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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.