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Finding the Fourth Proportional to 30,855.74, 46,283.81 and 8,669.53

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Solution

The fourth proportional to 30,855.74, 46,283.81 and 8,669.53 is: 13,004.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,855.74 : 46,283.81 = 8,669.53 : x
  2. Step 2: Convert to fraction form
    30,855.74/46,283.81 = 8,669.53/x
  3. Step 3: Cross multiply
    30,855.74x = 46,283.81 × 8,669.53
  4. Step 4: Simplify right side
    30,855.74x = 401,258,893.82
  5. Step 5: Solve for x
    x = 401,258,893.82/30,855.74
  6. Step 6: Final answer
    x = 13,004.35

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Why These Related Problems?

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