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Finding the Fourth Proportional to 30,271.95, 45,409.75 and 11,553.77

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Solution

The fourth proportional to 30,271.95, 45,409.75 and 11,553.77 is: 17,331.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,271.95 : 45,409.75 = 11,553.77 : x
  2. Step 2: Convert to fraction form
    30,271.95/45,409.75 = 11,553.77/x
  3. Step 3: Cross multiply
    30,271.95x = 45,409.75 × 11,553.77
  4. Step 4: Simplify right side
    30,271.95x = 524,653,891.90
  5. Step 5: Solve for x
    x = 524,653,891.90/30,271.95
  6. Step 6: Final answer
    x = 17,331.35

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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.