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Finding the Fourth Proportional to 123,533.40, 185,348.70 and 48,640.80

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Solution

The fourth proportional to 123,533.40, 185,348.70 and 48,640.80 is: 72,980.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,533.40 : 185,348.70 = 48,640.80 : x
  2. Step 2: Convert to fraction form
    123,533.40/185,348.70 = 48,640.80/x
  3. Step 3: Cross multiply
    123,533.40x = 185,348.70 × 48,640.80
  4. Step 4: Simplify right side
    123,533.40x = 9,015,509,046.96
  5. Step 5: Solve for x
    x = 9,015,509,046.96/123,533.40
  6. Step 6: Final answer
    x = 72,980.34

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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.