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Finding the Fourth Proportional to 29,202.50, 43,804.56 and 8,426

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Solution

The fourth proportional to 29,202.50, 43,804.56 and 8,426 is: 12,639.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,202.50 : 43,804.56 = 8,426 : x
  2. Step 2: Convert to fraction form
    29,202.50/43,804.56 = 8,426/x
  3. Step 3: Cross multiply
    29,202.50x = 43,804.56 × 8,426
  4. Step 4: Simplify right side
    29,202.50x = 369,097,222.56
  5. Step 5: Solve for x
    x = 369,097,222.56/29,202.50
  6. Step 6: Final answer
    x = 12,639.23

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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.