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Finding the Fourth Proportional to 50,038.54, 75,052.23 and 12,598.60

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Solution

The fourth proportional to 50,038.54, 75,052.23 and 12,598.60 is: 18,896.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,038.54 : 75,052.23 = 12,598.60 : x
  2. Step 2: Convert to fraction form
    50,038.54/75,052.23 = 12,598.60/x
  3. Step 3: Cross multiply
    50,038.54x = 75,052.23 × 12,598.60
  4. Step 4: Simplify right side
    50,038.54x = 945,553,024.88
  5. Step 5: Solve for x
    x = 945,553,024.88/50,038.54
  6. Step 6: Final answer
    x = 18,896.50

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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.