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Finding the Fourth Proportional to 52,005.99, 71,768.28 and 29,349.81

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Solution

The fourth proportional to 52,005.99, 71,768.28 and 29,349.81 is: 40,502.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,005.99 : 71,768.28 = 29,349.81 : x
  2. Step 2: Convert to fraction form
    52,005.99/71,768.28 = 29,349.81/x
  3. Step 3: Cross multiply
    52,005.99x = 71,768.28 × 29,349.81
  4. Step 4: Simplify right side
    52,005.99x = 2,106,385,382.03
  5. Step 5: Solve for x
    x = 2,106,385,382.03/52,005.99
  6. Step 6: Final answer
    x = 40,502.75

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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.