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Finding the Fourth Proportional to 32,030.95, 44,202.80 and 17,884.30

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Solution

The fourth proportional to 32,030.95, 44,202.80 and 17,884.30 is: 24,680.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,030.95 : 44,202.80 = 17,884.30 : x
  2. Step 2: Convert to fraction form
    32,030.95/44,202.80 = 17,884.30/x
  3. Step 3: Cross multiply
    32,030.95x = 44,202.80 × 17,884.30
  4. Step 4: Simplify right side
    32,030.95x = 790,536,136.04
  5. Step 5: Solve for x
    x = 790,536,136.04/32,030.95
  6. Step 6: Final answer
    x = 24,680.38

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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.