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Finding the Fourth Proportional to 30,932.56, 46,402.08 and 10,156.08

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Solution

The fourth proportional to 30,932.56, 46,402.08 and 10,156.08 is: 15,235.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,932.56 : 46,402.08 = 10,156.08 : x
  2. Step 2: Convert to fraction form
    30,932.56/46,402.08 = 10,156.08/x
  3. Step 3: Cross multiply
    30,932.56x = 46,402.08 × 10,156.08
  4. Step 4: Simplify right side
    30,932.56x = 471,263,236.65
  5. Step 5: Solve for x
    x = 471,263,236.65/30,932.56
  6. Step 6: Final answer
    x = 15,235.18

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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.