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Finding the Fourth Proportional to 52,009.66, 71,768.10 and 29,346.58

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Solution

The fourth proportional to 52,009.66, 71,768.10 and 29,346.58 is: 40,495.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,009.66 : 71,768.10 = 29,346.58 : x
  2. Step 2: Convert to fraction form
    52,009.66/71,768.10 = 29,346.58/x
  3. Step 3: Cross multiply
    52,009.66x = 71,768.10 × 29,346.58
  4. Step 4: Simplify right side
    52,009.66x = 2,106,148,288.10
  5. Step 5: Solve for x
    x = 2,106,148,288.10/52,009.66
  6. Step 6: Final answer
    x = 40,495.33

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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.