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Finding the Fourth Proportional to 31,060.36, 46,580.46 and 10,279

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Solution

The fourth proportional to 31,060.36, 46,580.46 and 10,279 is: 15,415.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,060.36 : 46,580.46 = 10,279 : x
  2. Step 2: Convert to fraction form
    31,060.36/46,580.46 = 10,279/x
  3. Step 3: Cross multiply
    31,060.36x = 46,580.46 × 10,279
  4. Step 4: Simplify right side
    31,060.36x = 478,800,548.34
  5. Step 5: Solve for x
    x = 478,800,548.34/31,060.36
  6. Step 6: Final answer
    x = 15,415.16

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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.