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Finding the Fourth Proportional to 49,383.80, 74,075.70 and 12,447.80

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Solution

The fourth proportional to 49,383.80, 74,075.70 and 12,447.80 is: 18,671.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,383.80 : 74,075.70 = 12,447.80 : x
  2. Step 2: Convert to fraction form
    49,383.80/74,075.70 = 12,447.80/x
  3. Step 3: Cross multiply
    49,383.80x = 74,075.70 × 12,447.80
  4. Step 4: Simplify right side
    49,383.80x = 922,079,498.46
  5. Step 5: Solve for x
    x = 922,079,498.46/49,383.80
  6. Step 6: Final answer
    x = 18,671.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.