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Finding the Fourth Proportional to 31,147.94, 46,722.72 and 10,088.75

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Solution

The fourth proportional to 31,147.94, 46,722.72 and 10,088.75 is: 15,133.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,147.94 : 46,722.72 = 10,088.75 : x
  2. Step 2: Convert to fraction form
    31,147.94/46,722.72 = 10,088.75/x
  3. Step 3: Cross multiply
    31,147.94x = 46,722.72 × 10,088.75
  4. Step 4: Simplify right side
    31,147.94x = 471,373,607.79
  5. Step 5: Solve for x
    x = 471,373,607.79/31,147.94
  6. Step 6: Final answer
    x = 15,133.38

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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.