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Finding the Fourth Proportional to 52,011, 77,953.82 and 23,892.20

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Solution

The fourth proportional to 52,011, 77,953.82 and 23,892.20 is: 35,809.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,011 : 77,953.82 = 23,892.20 : x
  2. Step 2: Convert to fraction form
    52,011/77,953.82 = 23,892.20/x
  3. Step 3: Cross multiply
    52,011x = 77,953.82 × 23,892.20
  4. Step 4: Simplify right side
    52,011x = 1,862,488,258.20
  5. Step 5: Solve for x
    x = 1,862,488,258.20/52,011
  6. Step 6: Final answer
    x = 35,809.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.