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Finding the Fourth Proportional to 51,671.76, 77,501.88 and 14,234.64

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Solution

The fourth proportional to 51,671.76, 77,501.88 and 14,234.64 is: 21,350.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,671.76 : 77,501.88 = 14,234.64 : x
  2. Step 2: Convert to fraction form
    51,671.76/77,501.88 = 14,234.64/x
  3. Step 3: Cross multiply
    51,671.76x = 77,501.88 × 14,234.64
  4. Step 4: Simplify right side
    51,671.76x = 1,103,211,361.12
  5. Step 5: Solve for x
    x = 1,103,211,361.12/51,671.76
  6. Step 6: Final answer
    x = 21,350.37

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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.