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Finding the Fourth Proportional to 30,585.38, 45,890.31 and 13,953.24

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Solution

The fourth proportional to 30,585.38, 45,890.31 and 13,953.24 is: 20,935.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,585.38 : 45,890.31 = 13,953.24 : x
  2. Step 2: Convert to fraction form
    30,585.38/45,890.31 = 13,953.24/x
  3. Step 3: Cross multiply
    30,585.38x = 45,890.31 × 13,953.24
  4. Step 4: Simplify right side
    30,585.38x = 640,318,509.10
  5. Step 5: Solve for x
    x = 640,318,509.10/30,585.38
  6. Step 6: Final answer
    x = 20,935.45

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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.