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Finding the Fourth Proportional to 30,477.29, 42,057.87 and 17,049.11

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Solution

The fourth proportional to 30,477.29, 42,057.87 and 17,049.11 is: 23,527.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,477.29 : 42,057.87 = 17,049.11 : x
  2. Step 2: Convert to fraction form
    30,477.29/42,057.87 = 17,049.11/x
  3. Step 3: Cross multiply
    30,477.29x = 42,057.87 × 17,049.11
  4. Step 4: Simplify right side
    30,477.29x = 717,049,041.71
  5. Step 5: Solve for x
    x = 717,049,041.71/30,477.29
  6. Step 6: Final answer
    x = 23,527.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.