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Finding the Fourth Proportional to 30,900.63, 46,323.45 and 11,174.80

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Solution

The fourth proportional to 30,900.63, 46,323.45 and 11,174.80 is: 16,752.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,900.63 : 46,323.45 = 11,174.80 : x
  2. Step 2: Convert to fraction form
    30,900.63/46,323.45 = 11,174.80/x
  3. Step 3: Cross multiply
    30,900.63x = 46,323.45 × 11,174.80
  4. Step 4: Simplify right side
    30,900.63x = 517,655,289.06
  5. Step 5: Solve for x
    x = 517,655,289.06/30,900.63
  6. Step 6: Final answer
    x = 16,752.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.