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Finding the Fourth Proportional to 30,869.36, 46,303.70 and 7,495.80

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Solution

The fourth proportional to 30,869.36, 46,303.70 and 7,495.80 is: 11,243.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,869.36 : 46,303.70 = 7,495.80 : x
  2. Step 2: Convert to fraction form
    30,869.36/46,303.70 = 7,495.80/x
  3. Step 3: Cross multiply
    30,869.36x = 46,303.70 × 7,495.80
  4. Step 4: Simplify right side
    30,869.36x = 347,083,236.98
  5. Step 5: Solve for x
    x = 347,083,236.98/30,869.36
  6. Step 6: Final answer
    x = 11,243.62

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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.