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Finding the Fourth Proportional to 30,776.16, 42,473.42 and 17,348.67

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Solution

The fourth proportional to 30,776.16, 42,473.42 and 17,348.67 is: 23,942.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,776.16 : 42,473.42 = 17,348.67 : x
  2. Step 2: Convert to fraction form
    30,776.16/42,473.42 = 17,348.67/x
  3. Step 3: Cross multiply
    30,776.16x = 42,473.42 × 17,348.67
  4. Step 4: Simplify right side
    30,776.16x = 736,857,347.35
  5. Step 5: Solve for x
    x = 736,857,347.35/30,776.16
  6. Step 6: Final answer
    x = 23,942.47

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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.