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Finding the Fourth Proportional to 31,423.76, 43,364.40 and 17,276.48

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Solution

The fourth proportional to 31,423.76, 43,364.40 and 17,276.48 is: 23,841.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,423.76 : 43,364.40 = 17,276.48 : x
  2. Step 2: Convert to fraction form
    31,423.76/43,364.40 = 17,276.48/x
  3. Step 3: Cross multiply
    31,423.76x = 43,364.40 × 17,276.48
  4. Step 4: Simplify right side
    31,423.76x = 749,184,189.31
  5. Step 5: Solve for x
    x = 749,184,189.31/31,423.76
  6. Step 6: Final answer
    x = 23,841.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.