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Finding the Fourth Proportional to 30,598.88, 45,889.14 and 10,874.84

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Solution

The fourth proportional to 30,598.88, 45,889.14 and 10,874.84 is: 16,309.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,598.88 : 45,889.14 = 10,874.84 : x
  2. Step 2: Convert to fraction form
    30,598.88/45,889.14 = 10,874.84/x
  3. Step 3: Cross multiply
    30,598.88x = 45,889.14 × 10,874.84
  4. Step 4: Simplify right side
    30,598.88x = 499,037,055.24
  5. Step 5: Solve for x
    x = 499,037,055.24/30,598.88
  6. Step 6: Final answer
    x = 16,309.00

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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.