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Finding the Fourth Proportional to 40,951.84, 56,508.96 and 23,053

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Solution

The fourth proportional to 40,951.84, 56,508.96 and 23,053 is: 31,810.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,951.84 : 56,508.96 = 23,053 : x
  2. Step 2: Convert to fraction form
    40,951.84/56,508.96 = 23,053/x
  3. Step 3: Cross multiply
    40,951.84x = 56,508.96 × 23,053
  4. Step 4: Simplify right side
    40,951.84x = 1,302,701,054.88
  5. Step 5: Solve for x
    x = 1,302,701,054.88/40,951.84
  6. Step 6: Final answer
    x = 31,810.56

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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.