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Finding the Fourth Proportional to 30,693.33, 46,010.84 and 18,216.50

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Solution

The fourth proportional to 30,693.33, 46,010.84 and 18,216.50 is: 27,307.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,693.33 : 46,010.84 = 18,216.50 : x
  2. Step 2: Convert to fraction form
    30,693.33/46,010.84 = 18,216.50/x
  3. Step 3: Cross multiply
    30,693.33x = 46,010.84 × 18,216.50
  4. Step 4: Simplify right side
    30,693.33x = 838,156,145.72
  5. Step 5: Solve for x
    x = 838,156,145.72/30,693.33
  6. Step 6: Final answer
    x = 27,307.44

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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.