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Finding the Fourth Proportional to 31,285.04, 46,934.64 and 10,508

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Solution

The fourth proportional to 31,285.04, 46,934.64 and 10,508 is: 15,764.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,285.04 : 46,934.64 = 10,508 : x
  2. Step 2: Convert to fraction form
    31,285.04/46,934.64 = 10,508/x
  3. Step 3: Cross multiply
    31,285.04x = 46,934.64 × 10,508
  4. Step 4: Simplify right side
    31,285.04x = 493,189,197.12
  5. Step 5: Solve for x
    x = 493,189,197.12/31,285.04
  6. Step 6: Final answer
    x = 15,764.38

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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.