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Finding the Fourth Proportional to 30,731.16, 42,409.74 and 17,302.86

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Solution

The fourth proportional to 30,731.16, 42,409.74 and 17,302.86 is: 23,878.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,731.16 : 42,409.74 = 17,302.86 : x
  2. Step 2: Convert to fraction form
    30,731.16/42,409.74 = 17,302.86/x
  3. Step 3: Cross multiply
    30,731.16x = 42,409.74 × 17,302.86
  4. Step 4: Simplify right side
    30,731.16x = 733,809,793.86
  5. Step 5: Solve for x
    x = 733,809,793.86/30,731.16
  6. Step 6: Final answer
    x = 23,878.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.