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Finding the Fourth Proportional to 28,303.50, 42,455.37 and 8,582.23

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Solution

The fourth proportional to 28,303.50, 42,455.37 and 8,582.23 is: 12,873.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,303.50 : 42,455.37 = 8,582.23 : x
  2. Step 2: Convert to fraction form
    28,303.50/42,455.37 = 8,582.23/x
  3. Step 3: Cross multiply
    28,303.50x = 42,455.37 × 8,582.23
  4. Step 4: Simplify right side
    28,303.50x = 364,361,750.08
  5. Step 5: Solve for x
    x = 364,361,750.08/28,303.50
  6. Step 6: Final answer
    x = 12,873.38

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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.