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Finding the Fourth Proportional to 52,359.68, 78,509.77 and 35,739.83

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Solution

The fourth proportional to 52,359.68, 78,509.77 and 35,739.83 is: 53,589.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,359.68 : 78,509.77 = 35,739.83 : x
  2. Step 2: Convert to fraction form
    52,359.68/78,509.77 = 35,739.83/x
  3. Step 3: Cross multiply
    52,359.68x = 78,509.77 × 35,739.83
  4. Step 4: Simplify right side
    52,359.68x = 2,805,925,833.14
  5. Step 5: Solve for x
    x = 2,805,925,833.14/52,359.68
  6. Step 6: Final answer
    x = 53,589.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.