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Finding the Fourth Proportional to 31,090.42, 46,649.40 and 16,295.82

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Solution

The fourth proportional to 31,090.42, 46,649.40 and 16,295.82 is: 24,450.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,090.42 : 46,649.40 = 16,295.82 : x
  2. Step 2: Convert to fraction form
    31,090.42/46,649.40 = 16,295.82/x
  3. Step 3: Cross multiply
    31,090.42x = 46,649.40 × 16,295.82
  4. Step 4: Simplify right side
    31,090.42x = 760,190,225.51
  5. Step 5: Solve for x
    x = 760,190,225.51/31,090.42
  6. Step 6: Final answer
    x = 24,450.95

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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.