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Finding the Fourth Proportional to 31,009.64, 46,513.92 and 7,635.92

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Solution

The fourth proportional to 31,009.64, 46,513.92 and 7,635.92 is: 11,453.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,009.64 : 46,513.92 = 7,635.92 : x
  2. Step 2: Convert to fraction form
    31,009.64/46,513.92 = 7,635.92/x
  3. Step 3: Cross multiply
    31,009.64x = 46,513.92 × 7,635.92
  4. Step 4: Simplify right side
    31,009.64x = 355,176,572.01
  5. Step 5: Solve for x
    x = 355,176,572.01/31,009.64
  6. Step 6: Final answer
    x = 11,453.75

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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.