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Finding the Fourth Proportional to 53,082.66, 73,254.62 and 30,421.16

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Solution

The fourth proportional to 53,082.66, 73,254.62 and 30,421.16 is: 41,981.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,082.66 : 73,254.62 = 30,421.16 : x
  2. Step 2: Convert to fraction form
    53,082.66/73,254.62 = 30,421.16/x
  3. Step 3: Cross multiply
    53,082.66x = 73,254.62 × 30,421.16
  4. Step 4: Simplify right side
    53,082.66x = 2,228,489,997.38
  5. Step 5: Solve for x
    x = 2,228,489,997.38/53,082.66
  6. Step 6: Final answer
    x = 41,981.51

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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.