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Finding the Fourth Proportional to 30,625.28, 45,937.92 and 9,851.84

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Solution

The fourth proportional to 30,625.28, 45,937.92 and 9,851.84 is: 14,777.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,625.28 : 45,937.92 = 9,851.84 : x
  2. Step 2: Convert to fraction form
    30,625.28/45,937.92 = 9,851.84/x
  3. Step 3: Cross multiply
    30,625.28x = 45,937.92 × 9,851.84
  4. Step 4: Simplify right side
    30,625.28x = 452,573,037.77
  5. Step 5: Solve for x
    x = 452,573,037.77/30,625.28
  6. Step 6: Final answer
    x = 14,777.76

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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.