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Finding the Fourth Proportional to 32,411.63, 44,728.05 and 18,264.98

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Solution

The fourth proportional to 32,411.63, 44,728.05 and 18,264.98 is: 25,205.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,411.63 : 44,728.05 = 18,264.98 : x
  2. Step 2: Convert to fraction form
    32,411.63/44,728.05 = 18,264.98/x
  3. Step 3: Cross multiply
    32,411.63x = 44,728.05 × 18,264.98
  4. Step 4: Simplify right side
    32,411.63x = 816,956,715.05
  5. Step 5: Solve for x
    x = 816,956,715.05/32,411.63
  6. Step 6: Final answer
    x = 25,205.67

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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.