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Finding the Fourth Proportional to 30,585.84, 45,825.60 and 16,555.50

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Solution

The fourth proportional to 30,585.84, 45,825.60 and 16,555.50 is: 24,804.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,585.84 : 45,825.60 = 16,555.50 : x
  2. Step 2: Convert to fraction form
    30,585.84/45,825.60 = 16,555.50/x
  3. Step 3: Cross multiply
    30,585.84x = 45,825.60 × 16,555.50
  4. Step 4: Simplify right side
    30,585.84x = 758,665,720.80
  5. Step 5: Solve for x
    x = 758,665,720.80/30,585.84
  6. Step 6: Final answer
    x = 24,804.48

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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.