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Finding the Fourth Proportional to 46,509.33, 64,160.33 and 27,633.09

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Solution

The fourth proportional to 46,509.33, 64,160.33 and 27,633.09 is: 38,120.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,509.33 : 64,160.33 = 27,633.09 : x
  2. Step 2: Convert to fraction form
    46,509.33/64,160.33 = 27,633.09/x
  3. Step 3: Cross multiply
    46,509.33x = 64,160.33 × 27,633.09
  4. Step 4: Simplify right side
    46,509.33x = 1,772,948,035.15
  5. Step 5: Solve for x
    x = 1,772,948,035.15/46,509.33
  6. Step 6: Final answer
    x = 38,120.27

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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.