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Finding the Fourth Proportional to 46,141.44, 69,222.40 and 21,504

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Solution

The fourth proportional to 46,141.44, 69,222.40 and 21,504 is: 32,260.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,141.44 : 69,222.40 = 21,504 : x
  2. Step 2: Convert to fraction form
    46,141.44/69,222.40 = 21,504/x
  3. Step 3: Cross multiply
    46,141.44x = 69,222.40 × 21,504
  4. Step 4: Simplify right side
    46,141.44x = 1,488,558,489.60
  5. Step 5: Solve for x
    x = 1,488,558,489.60/46,141.44
  6. Step 6: Final answer
    x = 32,260.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.