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Finding the Fourth Proportional to 34,003.98, 46,970.10 and 23,375.16

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Solution

The fourth proportional to 34,003.98, 46,970.10 and 23,375.16 is: 32,288.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,003.98 : 46,970.10 = 23,375.16 : x
  2. Step 2: Convert to fraction form
    34,003.98/46,970.10 = 23,375.16/x
  3. Step 3: Cross multiply
    34,003.98x = 46,970.10 × 23,375.16
  4. Step 4: Simplify right side
    34,003.98x = 1,097,933,602.72
  5. Step 5: Solve for x
    x = 1,097,933,602.72/34,003.98
  6. Step 6: Final answer
    x = 32,288.39

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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.