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Finding the Fourth Proportional to 34,628.31, 51,937.74 and 12,438.50

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Solution

The fourth proportional to 34,628.31, 51,937.74 and 12,438.50 is: 18,656.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,628.31 : 51,937.74 = 12,438.50 : x
  2. Step 2: Convert to fraction form
    34,628.31/51,937.74 = 12,438.50/x
  3. Step 3: Cross multiply
    34,628.31x = 51,937.74 × 12,438.50
  4. Step 4: Simplify right side
    34,628.31x = 646,027,319.30
  5. Step 5: Solve for x
    x = 646,027,319.30/34,628.31
  6. Step 6: Final answer
    x = 18,656.05

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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.