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Finding the Fourth Proportional to 46,601.96, 64,266 and 31,323.08

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Solution

The fourth proportional to 46,601.96, 64,266 and 31,323.08 is: 43,195.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,601.96 : 64,266 = 31,323.08 : x
  2. Step 2: Convert to fraction form
    46,601.96/64,266 = 31,323.08/x
  3. Step 3: Cross multiply
    46,601.96x = 64,266 × 31,323.08
  4. Step 4: Simplify right side
    46,601.96x = 2,013,009,059.28
  5. Step 5: Solve for x
    x = 2,013,009,059.28/46,601.96
  6. Step 6: Final answer
    x = 43,195.80

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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.