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Finding the Fourth Proportional to 31,196.65, 46,781.07 and 9,004.75

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Solution

The fourth proportional to 31,196.65, 46,781.07 and 9,004.75 is: 13,503.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,196.65 : 46,781.07 = 9,004.75 : x
  2. Step 2: Convert to fraction form
    31,196.65/46,781.07 = 9,004.75/x
  3. Step 3: Cross multiply
    31,196.65x = 46,781.07 × 9,004.75
  4. Step 4: Simplify right side
    31,196.65x = 421,251,840.08
  5. Step 5: Solve for x
    x = 421,251,840.08/31,196.65
  6. Step 6: Final answer
    x = 13,503.11

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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.