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Finding the Fourth Proportional to 32,030.04, 44,201.49 and 17,882.88

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Solution

The fourth proportional to 32,030.04, 44,201.49 and 17,882.88 is: 24,678.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,030.04 : 44,201.49 = 17,882.88 : x
  2. Step 2: Convert to fraction form
    32,030.04/44,201.49 = 17,882.88/x
  3. Step 3: Cross multiply
    32,030.04x = 44,201.49 × 17,882.88
  4. Step 4: Simplify right side
    32,030.04x = 790,449,941.49
  5. Step 5: Solve for x
    x = 790,449,941.49/32,030.04
  6. Step 6: Final answer
    x = 24,678.39

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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.