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Finding the Fourth Proportional to 30,776.57, 42,462.23 and 18,827.45

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Solution

The fourth proportional to 30,776.57, 42,462.23 and 18,827.45 is: 25,976.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,776.57 : 42,462.23 = 18,827.45 : x
  2. Step 2: Convert to fraction form
    30,776.57/42,462.23 = 18,827.45/x
  3. Step 3: Cross multiply
    30,776.57x = 42,462.23 × 18,827.45
  4. Step 4: Simplify right side
    30,776.57x = 799,455,418.08
  5. Step 5: Solve for x
    x = 799,455,418.08/30,776.57
  6. Step 6: Final answer
    x = 25,976.11

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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.