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Finding the Fourth Proportional to 30,822.48, 46,233.12 and 7,448.64

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Solution

The fourth proportional to 30,822.48, 46,233.12 and 7,448.64 is: 11,172.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,822.48 : 46,233.12 = 7,448.64 : x
  2. Step 2: Convert to fraction form
    30,822.48/46,233.12 = 7,448.64/x
  3. Step 3: Cross multiply
    30,822.48x = 46,233.12 × 7,448.64
  4. Step 4: Simplify right side
    30,822.48x = 344,373,866.96
  5. Step 5: Solve for x
    x = 344,373,866.96/30,822.48
  6. Step 6: Final answer
    x = 11,172.82

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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.