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Finding the Fourth Proportional to 30,582.84, 45,800.19 and 15,550.44

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Solution

The fourth proportional to 30,582.84, 45,800.19 and 15,550.44 is: 23,288.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,582.84 : 45,800.19 = 15,550.44 : x
  2. Step 2: Convert to fraction form
    30,582.84/45,800.19 = 15,550.44/x
  3. Step 3: Cross multiply
    30,582.84x = 45,800.19 × 15,550.44
  4. Step 4: Simplify right side
    30,582.84x = 712,213,106.58
  5. Step 5: Solve for x
    x = 712,213,106.58/30,582.84
  6. Step 6: Final answer
    x = 23,288.00

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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.