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Finding the Fourth Proportional to 31,152, 46,735.68 and 9,264

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Solution

The fourth proportional to 31,152, 46,735.68 and 9,264 is: 13,898.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,152 : 46,735.68 = 9,264 : x
  2. Step 2: Convert to fraction form
    31,152/46,735.68 = 9,264/x
  3. Step 3: Cross multiply
    31,152x = 46,735.68 × 9,264
  4. Step 4: Simplify right side
    31,152x = 432,959,339.52
  5. Step 5: Solve for x
    x = 432,959,339.52/31,152
  6. Step 6: Final answer
    x = 13,898.28

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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.