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Finding the Fourth Proportional to 31,509, 47,263.68 and 8,133.84

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Solution

The fourth proportional to 31,509, 47,263.68 and 8,133.84 is: 12,200.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,509 : 47,263.68 = 8,133.84 : x
  2. Step 2: Convert to fraction form
    31,509/47,263.68 = 8,133.84/x
  3. Step 3: Cross multiply
    31,509x = 47,263.68 × 8,133.84
  4. Step 4: Simplify right side
    31,509x = 384,435,210.93
  5. Step 5: Solve for x
    x = 384,435,210.93/31,509
  6. Step 6: Final answer
    x = 12,200.81

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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.