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Finding the Fourth Proportional to 30,830.58, 46,245.15 and 17,673.30

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Solution

The fourth proportional to 30,830.58, 46,245.15 and 17,673.30 is: 26,509.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,830.58 : 46,245.15 = 17,673.30 : x
  2. Step 2: Convert to fraction form
    30,830.58/46,245.15 = 17,673.30/x
  3. Step 3: Cross multiply
    30,830.58x = 46,245.15 × 17,673.30
  4. Step 4: Simplify right side
    30,830.58x = 817,304,409.50
  5. Step 5: Solve for x
    x = 817,304,409.50/30,830.58
  6. Step 6: Final answer
    x = 26,509.54

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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.