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Finding the Fourth Proportional to 46,817.60, 64,603.22 and 27,698.09

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Solution

The fourth proportional to 46,817.60, 64,603.22 and 27,698.09 is: 38,220.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,817.60 : 64,603.22 = 27,698.09 : x
  2. Step 2: Convert to fraction form
    46,817.60/64,603.22 = 27,698.09/x
  3. Step 3: Cross multiply
    46,817.60x = 64,603.22 × 27,698.09
  4. Step 4: Simplify right side
    46,817.60x = 1,789,386,032.60
  5. Step 5: Solve for x
    x = 1,789,386,032.60/46,817.60
  6. Step 6: Final answer
    x = 38,220.37

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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.