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Finding the Fourth Proportional to 32,977, 45,511.14 and 18,075.88

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Solution

The fourth proportional to 32,977, 45,511.14 and 18,075.88 is: 24,946.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,977 : 45,511.14 = 18,075.88 : x
  2. Step 2: Convert to fraction form
    32,977/45,511.14 = 18,075.88/x
  3. Step 3: Cross multiply
    32,977x = 45,511.14 × 18,075.88
  4. Step 4: Simplify right side
    32,977x = 822,653,905.30
  5. Step 5: Solve for x
    x = 822,653,905.30/32,977
  6. Step 6: Final answer
    x = 24,946.29

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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.