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Finding the Fourth Proportional to 53,914.58, 80,838.16 and 16,462.22

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Solution

The fourth proportional to 53,914.58, 80,838.16 and 16,462.22 is: 24,683.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,914.58 : 80,838.16 = 16,462.22 : x
  2. Step 2: Convert to fraction form
    53,914.58/80,838.16 = 16,462.22/x
  3. Step 3: Cross multiply
    53,914.58x = 80,838.16 × 16,462.22
  4. Step 4: Simplify right side
    53,914.58x = 1,330,775,574.32
  5. Step 5: Solve for x
    x = 1,330,775,574.32/53,914.58
  6. Step 6: Final answer
    x = 24,683.04

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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.