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Finding the Fourth Proportional to 52,576.96, 78,739.72 and 30,322.87

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Solution

The fourth proportional to 52,576.96, 78,739.72 and 30,322.87 is: 45,411.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,576.96 : 78,739.72 = 30,322.87 : x
  2. Step 2: Convert to fraction form
    52,576.96/78,739.72 = 30,322.87/x
  3. Step 3: Cross multiply
    52,576.96x = 78,739.72 × 30,322.87
  4. Step 4: Simplify right side
    52,576.96x = 2,387,614,293.40
  5. Step 5: Solve for x
    x = 2,387,614,293.40/52,576.96
  6. Step 6: Final answer
    x = 45,411.80

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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.