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Finding the Fourth Proportional to 31,650.51, 47,468.70 and 9,461

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Solution

The fourth proportional to 31,650.51, 47,468.70 and 9,461 is: 14,189.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,650.51 : 47,468.70 = 9,461 : x
  2. Step 2: Convert to fraction form
    31,650.51/47,468.70 = 9,461/x
  3. Step 3: Cross multiply
    31,650.51x = 47,468.70 × 9,461
  4. Step 4: Simplify right side
    31,650.51x = 449,101,370.70
  5. Step 5: Solve for x
    x = 449,101,370.70/31,650.51
  6. Step 6: Final answer
    x = 14,189.39

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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.