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Finding the Fourth Proportional to 32,075.41, 44,262.28 and 17,734.40

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Solution

The fourth proportional to 32,075.41, 44,262.28 and 17,734.40 is: 24,472.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,075.41 : 44,262.28 = 17,734.40 : x
  2. Step 2: Convert to fraction form
    32,075.41/44,262.28 = 17,734.40/x
  3. Step 3: Cross multiply
    32,075.41x = 44,262.28 × 17,734.40
  4. Step 4: Simplify right side
    32,075.41x = 784,965,094.49
  5. Step 5: Solve for x
    x = 784,965,094.49/32,075.41
  6. Step 6: Final answer
    x = 24,472.49

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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.