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Finding the Fourth Proportional to 30,902.48, 46,353.24 and 12,434

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Solution

The fourth proportional to 30,902.48, 46,353.24 and 12,434 is: 18,650.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,902.48 : 46,353.24 = 12,434 : x
  2. Step 2: Convert to fraction form
    30,902.48/46,353.24 = 12,434/x
  3. Step 3: Cross multiply
    30,902.48x = 46,353.24 × 12,434
  4. Step 4: Simplify right side
    30,902.48x = 576,356,186.16
  5. Step 5: Solve for x
    x = 576,356,186.16/30,902.48
  6. Step 6: Final answer
    x = 18,650.81

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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.