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Finding the Fourth Proportional to 32,706.25, 49,056.85 and 18,622.06

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Solution

The fourth proportional to 32,706.25, 49,056.85 and 18,622.06 is: 27,931.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,706.25 : 49,056.85 = 18,622.06 : x
  2. Step 2: Convert to fraction form
    32,706.25/49,056.85 = 18,622.06/x
  3. Step 3: Cross multiply
    32,706.25x = 49,056.85 × 18,622.06
  4. Step 4: Simplify right side
    32,706.25x = 913,539,604.11
  5. Step 5: Solve for x
    x = 913,539,604.11/32,706.25
  6. Step 6: Final answer
    x = 27,931.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.