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Finding the Fourth Proportional to 31,362.32, 47,042.58 and 9,176.24

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Solution

The fourth proportional to 31,362.32, 47,042.58 and 9,176.24 is: 13,764.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,362.32 : 47,042.58 = 9,176.24 : x
  2. Step 2: Convert to fraction form
    31,362.32/47,042.58 = 9,176.24/x
  3. Step 3: Cross multiply
    31,362.32x = 47,042.58 × 9,176.24
  4. Step 4: Simplify right side
    31,362.32x = 431,674,004.30
  5. Step 5: Solve for x
    x = 431,674,004.30/31,362.32
  6. Step 6: Final answer
    x = 13,764.10

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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.