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Finding the Fourth Proportional to 30,935.44, 46,405.68 and 8,749

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Solution

The fourth proportional to 30,935.44, 46,405.68 and 8,749 is: 13,124.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,935.44 : 46,405.68 = 8,749 : x
  2. Step 2: Convert to fraction form
    30,935.44/46,405.68 = 8,749/x
  3. Step 3: Cross multiply
    30,935.44x = 46,405.68 × 8,749
  4. Step 4: Simplify right side
    30,935.44x = 406,003,294.32
  5. Step 5: Solve for x
    x = 406,003,294.32/30,935.44
  6. Step 6: Final answer
    x = 13,124.21

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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.