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Finding the Fourth Proportional to 32,934, 45,449.28 and 18,030

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Solution

The fourth proportional to 32,934, 45,449.28 and 18,030 is: 24,881.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,934 : 45,449.28 = 18,030 : x
  2. Step 2: Convert to fraction form
    32,934/45,449.28 = 18,030/x
  3. Step 3: Cross multiply
    32,934x = 45,449.28 × 18,030
  4. Step 4: Simplify right side
    32,934x = 819,450,518.40
  5. Step 5: Solve for x
    x = 819,450,518.40/32,934
  6. Step 6: Final answer
    x = 24,881.60

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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.