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Finding the Fourth Proportional to 32,257.02, 44,510.58 and 18,825.20

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Solution

The fourth proportional to 32,257.02, 44,510.58 and 18,825.20 is: 25,976.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,257.02 : 44,510.58 = 18,825.20 : x
  2. Step 2: Convert to fraction form
    32,257.02/44,510.58 = 18,825.20/x
  3. Step 3: Cross multiply
    32,257.02x = 44,510.58 × 18,825.20
  4. Step 4: Simplify right side
    32,257.02x = 837,920,570.62
  5. Step 5: Solve for x
    x = 837,920,570.62/32,257.02
  6. Step 6: Final answer
    x = 25,976.38

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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.