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Finding the Fourth Proportional to 52,857.95, 72,982.25 and 34,027.88

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Solution

The fourth proportional to 52,857.95, 72,982.25 and 34,027.88 is: 46,983.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,857.95 : 72,982.25 = 34,027.88 : x
  2. Step 2: Convert to fraction form
    52,857.95/72,982.25 = 34,027.88/x
  3. Step 3: Cross multiply
    52,857.95x = 72,982.25 × 34,027.88
  4. Step 4: Simplify right side
    52,857.95x = 2,483,430,710.08
  5. Step 5: Solve for x
    x = 2,483,430,710.08/52,857.95
  6. Step 6: Final answer
    x = 46,983.11

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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.