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Finding the Fourth Proportional to 30,902.45, 46,353.69 and 7,528.68

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Solution

The fourth proportional to 30,902.45, 46,353.69 and 7,528.68 is: 11,293.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,902.45 : 46,353.69 = 7,528.68 : x
  2. Step 2: Convert to fraction form
    30,902.45/46,353.69 = 7,528.68/x
  3. Step 3: Cross multiply
    30,902.45x = 46,353.69 × 7,528.68
  4. Step 4: Simplify right side
    30,902.45x = 348,982,098.83
  5. Step 5: Solve for x
    x = 348,982,098.83/30,902.45
  6. Step 6: Final answer
    x = 11,293.03

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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.