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Finding the Fourth Proportional to 31,277.34, 46,914.71 and 9,090.27

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Solution

The fourth proportional to 31,277.34, 46,914.71 and 9,090.27 is: 13,635.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,277.34 : 46,914.71 = 9,090.27 : x
  2. Step 2: Convert to fraction form
    31,277.34/46,914.71 = 9,090.27/x
  3. Step 3: Cross multiply
    31,277.34x = 46,914.71 × 9,090.27
  4. Step 4: Simplify right side
    31,277.34x = 426,467,335.42
  5. Step 5: Solve for x
    x = 426,467,335.42/31,277.34
  6. Step 6: Final answer
    x = 13,635.03

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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.