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Finding the Fourth Proportional to 28,050.42, 38,722.46 and 24,206.76

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Solution

The fourth proportional to 28,050.42, 38,722.46 and 24,206.76 is: 33,416.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,050.42 : 38,722.46 = 24,206.76 : x
  2. Step 2: Convert to fraction form
    28,050.42/38,722.46 = 24,206.76/x
  3. Step 3: Cross multiply
    28,050.42x = 38,722.46 × 24,206.76
  4. Step 4: Simplify right side
    28,050.42x = 937,345,174.80
  5. Step 5: Solve for x
    x = 937,345,174.80/28,050.42
  6. Step 6: Final answer
    x = 33,416.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.