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Finding the Fourth Proportional to 53,082.76, 73,252.38 and 29,207.20

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Solution

The fourth proportional to 53,082.76, 73,252.38 and 29,207.20 is: 40,304.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,082.76 : 73,252.38 = 29,207.20 : x
  2. Step 2: Convert to fraction form
    53,082.76/73,252.38 = 29,207.20/x
  3. Step 3: Cross multiply
    53,082.76x = 73,252.38 × 29,207.20
  4. Step 4: Simplify right side
    53,082.76x = 2,139,496,913.14
  5. Step 5: Solve for x
    x = 2,139,496,913.14/53,082.76
  6. Step 6: Final answer
    x = 40,304.93

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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.