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Finding the Fourth Proportional to 127,671.46, 191,520.30 and 48,851.98

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Solution

The fourth proportional to 127,671.46, 191,520.30 and 48,851.98 is: 73,282.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,671.46 : 191,520.30 = 48,851.98 : x
  2. Step 2: Convert to fraction form
    127,671.46/191,520.30 = 48,851.98/x
  3. Step 3: Cross multiply
    127,671.46x = 191,520.30 × 48,851.98
  4. Step 4: Simplify right side
    127,671.46x = 9,356,145,865.19
  5. Step 5: Solve for x
    x = 9,356,145,865.19/127,671.46
  6. Step 6: Final answer
    x = 73,282.99

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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.