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Finding the Fourth Proportional to 30,822.30, 46,233.42 and 13,055.76

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Solution

The fourth proportional to 30,822.30, 46,233.42 and 13,055.76 is: 19,583.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,822.30 : 46,233.42 = 13,055.76 : x
  2. Step 2: Convert to fraction form
    30,822.30/46,233.42 = 13,055.76/x
  3. Step 3: Cross multiply
    30,822.30x = 46,233.42 × 13,055.76
  4. Step 4: Simplify right side
    30,822.30x = 603,612,435.50
  5. Step 5: Solve for x
    x = 603,612,435.50/30,822.30
  6. Step 6: Final answer
    x = 19,583.63

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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.