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Finding the Fourth Proportional to 43,804.64, 65,703.60 and 16,100

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Solution

The fourth proportional to 43,804.64, 65,703.60 and 16,100 is: 24,148.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,804.64 : 65,703.60 = 16,100 : x
  2. Step 2: Convert to fraction form
    43,804.64/65,703.60 = 16,100/x
  3. Step 3: Cross multiply
    43,804.64x = 65,703.60 × 16,100
  4. Step 4: Simplify right side
    43,804.64x = 1,057,827,960.00
  5. Step 5: Solve for x
    x = 1,057,827,960.00/43,804.64
  6. Step 6: Final answer
    x = 24,148.77

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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.