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Finding the Fourth Proportional to 30,875.34, 46,293.57 and 11,150.22

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Solution

The fourth proportional to 30,875.34, 46,293.57 and 11,150.22 is: 16,718.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,875.34 : 46,293.57 = 11,150.22 : x
  2. Step 2: Convert to fraction form
    30,875.34/46,293.57 = 11,150.22/x
  3. Step 3: Cross multiply
    30,875.34x = 46,293.57 × 11,150.22
  4. Step 4: Simplify right side
    30,875.34x = 516,183,490.09
  5. Step 5: Solve for x
    x = 516,183,490.09/30,875.34
  6. Step 6: Final answer
    x = 16,718.31

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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.