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Finding the Fourth Proportional to 31,860.29, 47,762.74 and 18,684.98

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Solution

The fourth proportional to 31,860.29, 47,762.74 and 18,684.98 is: 28,011.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,860.29 : 47,762.74 = 18,684.98 : x
  2. Step 2: Convert to fraction form
    31,860.29/47,762.74 = 18,684.98/x
  3. Step 3: Cross multiply
    31,860.29x = 47,762.74 × 18,684.98
  4. Step 4: Simplify right side
    31,860.29x = 892,445,556.12
  5. Step 5: Solve for x
    x = 892,445,556.12/31,860.29
  6. Step 6: Final answer
    x = 28,011.22

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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.