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Finding the Fourth Proportional to 52,053.50, 71,833.83 and 29,697.02

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Solution

The fourth proportional to 52,053.50, 71,833.83 and 29,697.02 is: 40,981.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,053.50 : 71,833.83 = 29,697.02 : x
  2. Step 2: Convert to fraction form
    52,053.50/71,833.83 = 29,697.02/x
  3. Step 3: Cross multiply
    52,053.50x = 71,833.83 × 29,697.02
  4. Step 4: Simplify right side
    52,053.50x = 2,133,250,686.19
  5. Step 5: Solve for x
    x = 2,133,250,686.19/52,053.50
  6. Step 6: Final answer
    x = 40,981.89

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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.