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Finding the Fourth Proportional to 31,804.65, 47,725.20 and 12,097.35

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Solution

The fourth proportional to 31,804.65, 47,725.20 and 12,097.35 is: 18,152.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,804.65 : 47,725.20 = 12,097.35 : x
  2. Step 2: Convert to fraction form
    31,804.65/47,725.20 = 12,097.35/x
  3. Step 3: Cross multiply
    31,804.65x = 47,725.20 × 12,097.35
  4. Step 4: Simplify right side
    31,804.65x = 577,348,448.22
  5. Step 5: Solve for x
    x = 577,348,448.22/31,804.65
  6. Step 6: Final answer
    x = 18,152.96

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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.