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Finding the Fourth Proportional to 32,295.46, 44,571.32 and 18,148

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Solution

The fourth proportional to 32,295.46, 44,571.32 and 18,148 is: 25,046.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,295.46 : 44,571.32 = 18,148 : x
  2. Step 2: Convert to fraction form
    32,295.46/44,571.32 = 18,148/x
  3. Step 3: Cross multiply
    32,295.46x = 44,571.32 × 18,148
  4. Step 4: Simplify right side
    32,295.46x = 808,880,315.36
  5. Step 5: Solve for x
    x = 808,880,315.36/32,295.46
  6. Step 6: Final answer
    x = 25,046.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.