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Finding the Fourth Proportional to 52,205.82, 72,044.14 and 30,989.34

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Solution

The fourth proportional to 52,205.82, 72,044.14 and 30,989.34 is: 42,765.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,205.82 : 72,044.14 = 30,989.34 : x
  2. Step 2: Convert to fraction form
    52,205.82/72,044.14 = 30,989.34/x
  3. Step 3: Cross multiply
    52,205.82x = 72,044.14 × 30,989.34
  4. Step 4: Simplify right side
    52,205.82x = 2,232,600,349.47
  5. Step 5: Solve for x
    x = 2,232,600,349.47/52,205.82
  6. Step 6: Final answer
    x = 42,765.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.