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Finding the Fourth Proportional to 31,852.37, 47,778.84 and 9,665.74

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Solution

The fourth proportional to 31,852.37, 47,778.84 and 9,665.74 is: 14,498.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,852.37 : 47,778.84 = 9,665.74 : x
  2. Step 2: Convert to fraction form
    31,852.37/47,778.84 = 9,665.74/x
  3. Step 3: Cross multiply
    31,852.37x = 47,778.84 × 9,665.74
  4. Step 4: Simplify right side
    31,852.37x = 461,818,015.45
  5. Step 5: Solve for x
    x = 461,818,015.45/31,852.37
  6. Step 6: Final answer
    x = 14,498.70

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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.