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Finding the Fourth Proportional to 30,409.16, 45,595.10 and 10,689.98

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Solution

The fourth proportional to 30,409.16, 45,595.10 and 10,689.98 is: 16,028.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,409.16 : 45,595.10 = 10,689.98 : x
  2. Step 2: Convert to fraction form
    30,409.16/45,595.10 = 10,689.98/x
  3. Step 3: Cross multiply
    30,409.16x = 45,595.10 × 10,689.98
  4. Step 4: Simplify right side
    30,409.16x = 487,410,505.85
  5. Step 5: Solve for x
    x = 487,410,505.85/30,409.16
  6. Step 6: Final answer
    x = 16,028.41

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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.