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Finding the Fourth Proportional to 31,374.50, 47,051.73 and 10,309.64

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Solution

The fourth proportional to 31,374.50, 47,051.73 and 10,309.64 is: 15,461.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,374.50 : 47,051.73 = 10,309.64 : x
  2. Step 2: Convert to fraction form
    31,374.50/47,051.73 = 10,309.64/x
  3. Step 3: Cross multiply
    31,374.50x = 47,051.73 × 10,309.64
  4. Step 4: Simplify right side
    31,374.50x = 485,086,162.42
  5. Step 5: Solve for x
    x = 485,086,162.42/31,374.50
  6. Step 6: Final answer
    x = 15,461.16

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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.