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Finding the Fourth Proportional to 29,905, 44,857.50 and 8,017

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Solution

The fourth proportional to 29,905, 44,857.50 and 8,017 is: 12,025.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,905 : 44,857.50 = 8,017 : x
  2. Step 2: Convert to fraction form
    29,905/44,857.50 = 8,017/x
  3. Step 3: Cross multiply
    29,905x = 44,857.50 × 8,017
  4. Step 4: Simplify right side
    29,905x = 359,622,577.50
  5. Step 5: Solve for x
    x = 359,622,577.50/29,905
  6. Step 6: Final answer
    x = 12,025.50

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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.