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Finding the Fourth Proportional to 43,661.74, 65,505.39 and 14,078.98

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Solution

The fourth proportional to 43,661.74, 65,505.39 and 14,078.98 is: 21,122.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,661.74 : 65,505.39 = 14,078.98 : x
  2. Step 2: Convert to fraction form
    43,661.74/65,505.39 = 14,078.98/x
  3. Step 3: Cross multiply
    43,661.74x = 65,505.39 × 14,078.98
  4. Step 4: Simplify right side
    43,661.74x = 922,249,075.70
  5. Step 5: Solve for x
    x = 922,249,075.70/43,661.74
  6. Step 6: Final answer
    x = 21,122.59

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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.