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Finding the Fourth Proportional to 32,476, 44,816.88 and 18,328.54

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Solution

The fourth proportional to 32,476, 44,816.88 and 18,328.54 is: 25,293.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,476 : 44,816.88 = 18,328.54 : x
  2. Step 2: Convert to fraction form
    32,476/44,816.88 = 18,328.54/x
  3. Step 3: Cross multiply
    32,476x = 44,816.88 × 18,328.54
  4. Step 4: Simplify right side
    32,476x = 821,427,977.76
  5. Step 5: Solve for x
    x = 821,427,977.76/32,476
  6. Step 6: Final answer
    x = 25,293.39

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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.