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Finding the Fourth Proportional to 30,782.89, 42,480.38 and 17,354.15

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Solution

The fourth proportional to 30,782.89, 42,480.38 and 17,354.15 is: 23,948.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,782.89 : 42,480.38 = 17,354.15 : x
  2. Step 2: Convert to fraction form
    30,782.89/42,480.38 = 17,354.15/x
  3. Step 3: Cross multiply
    30,782.89x = 42,480.38 × 17,354.15
  4. Step 4: Simplify right side
    30,782.89x = 737,210,674.18
  5. Step 5: Solve for x
    x = 737,210,674.18/30,782.89
  6. Step 6: Final answer
    x = 23,948.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.