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Finding the Fourth Proportional to 30,895.22, 46,344.68 and 8,710.49

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Solution

The fourth proportional to 30,895.22, 46,344.68 and 8,710.49 is: 13,066.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,895.22 : 46,344.68 = 8,710.49 : x
  2. Step 2: Convert to fraction form
    30,895.22/46,344.68 = 8,710.49/x
  3. Step 3: Cross multiply
    30,895.22x = 46,344.68 × 8,710.49
  4. Step 4: Simplify right side
    30,895.22x = 403,684,871.69
  5. Step 5: Solve for x
    x = 403,684,871.69/30,895.22
  6. Step 6: Final answer
    x = 13,066.26

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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.