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Finding the Fourth Proportional to 46,533.30, 64,205.09 and 27,149.19

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Solution

The fourth proportional to 46,533.30, 64,205.09 and 27,149.19 is: 37,459.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,533.30 : 64,205.09 = 27,149.19 : x
  2. Step 2: Convert to fraction form
    46,533.30/64,205.09 = 27,149.19/x
  3. Step 3: Cross multiply
    46,533.30x = 64,205.09 × 27,149.19
  4. Step 4: Simplify right side
    46,533.30x = 1,743,116,187.38
  5. Step 5: Solve for x
    x = 1,743,116,187.38/46,533.30
  6. Step 6: Final answer
    x = 37,459.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.