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Finding the Fourth Proportional to 31,775.16, 47,653.46 and 12,039.48

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Solution

The fourth proportional to 31,775.16, 47,653.46 and 12,039.48 is: 18,055.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,775.16 : 47,653.46 = 12,039.48 : x
  2. Step 2: Convert to fraction form
    31,775.16/47,653.46 = 12,039.48/x
  3. Step 3: Cross multiply
    31,775.16x = 47,653.46 × 12,039.48
  4. Step 4: Simplify right side
    31,775.16x = 573,722,878.60
  5. Step 5: Solve for x
    x = 573,722,878.60/31,775.16
  6. Step 6: Final answer
    x = 18,055.70

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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.