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Finding the Fourth Proportional to 52,035.60, 71,796.60 and 30,820.08

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Solution

The fourth proportional to 52,035.60, 71,796.60 and 30,820.08 is: 42,524.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,035.60 : 71,796.60 = 30,820.08 : x
  2. Step 2: Convert to fraction form
    52,035.60/71,796.60 = 30,820.08/x
  3. Step 3: Cross multiply
    52,035.60x = 71,796.60 × 30,820.08
  4. Step 4: Simplify right side
    52,035.60x = 2,212,776,955.73
  5. Step 5: Solve for x
    x = 2,212,776,955.73/52,035.60
  6. Step 6: Final answer
    x = 42,524.29

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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.