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Finding the Fourth Proportional to 30,951.84, 46,393.20 and 28,460.82

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Solution

The fourth proportional to 30,951.84, 46,393.20 and 28,460.82 is: 42,659.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,951.84 : 46,393.20 = 28,460.82 : x
  2. Step 2: Convert to fraction form
    30,951.84/46,393.20 = 28,460.82/x
  3. Step 3: Cross multiply
    30,951.84x = 46,393.20 × 28,460.82
  4. Step 4: Simplify right side
    30,951.84x = 1,320,388,514.42
  5. Step 5: Solve for x
    x = 1,320,388,514.42/30,951.84
  6. Step 6: Final answer
    x = 42,659.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.