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Finding the Fourth Proportional to 30,858.64, 46,292.28 and 10,076.88

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Solution

The fourth proportional to 30,858.64, 46,292.28 and 10,076.88 is: 15,116.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,858.64 : 46,292.28 = 10,076.88 : x
  2. Step 2: Convert to fraction form
    30,858.64/46,292.28 = 10,076.88/x
  3. Step 3: Cross multiply
    30,858.64x = 46,292.28 × 10,076.88
  4. Step 4: Simplify right side
    30,858.64x = 466,481,750.49
  5. Step 5: Solve for x
    x = 466,481,750.49/30,858.64
  6. Step 6: Final answer
    x = 15,116.73

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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.