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Finding the Fourth Proportional to 32,709, 45,138.42 and 17,805

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Solution

The fourth proportional to 32,709, 45,138.42 and 17,805 is: 24,570.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,709 : 45,138.42 = 17,805 : x
  2. Step 2: Convert to fraction form
    32,709/45,138.42 = 17,805/x
  3. Step 3: Cross multiply
    32,709x = 45,138.42 × 17,805
  4. Step 4: Simplify right side
    32,709x = 803,689,568.10
  5. Step 5: Solve for x
    x = 803,689,568.10/32,709
  6. Step 6: Final answer
    x = 24,570.90

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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.