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Finding the Fourth Proportional to 48,438.96, 72,653.04 and 16,843.56

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Solution

The fourth proportional to 48,438.96, 72,653.04 and 16,843.56 is: 25,263.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,438.96 : 72,653.04 = 16,843.56 : x
  2. Step 2: Convert to fraction form
    48,438.96/72,653.04 = 16,843.56/x
  3. Step 3: Cross multiply
    48,438.96x = 72,653.04 × 16,843.56
  4. Step 4: Simplify right side
    48,438.96x = 1,223,735,838.42
  5. Step 5: Solve for x
    x = 1,223,735,838.42/48,438.96
  6. Step 6: Final answer
    x = 25,263.46

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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.