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Finding the Fourth Proportional to 57,762.37, 86,655.70 and 32,813.96

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Solution

The fourth proportional to 57,762.37, 86,655.70 and 32,813.96 is: 49,227.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,762.37 : 86,655.70 = 32,813.96 : x
  2. Step 2: Convert to fraction form
    57,762.37/86,655.70 = 32,813.96/x
  3. Step 3: Cross multiply
    57,762.37x = 86,655.70 × 32,813.96
  4. Step 4: Simplify right side
    57,762.37x = 2,843,516,931.23
  5. Step 5: Solve for x
    x = 2,843,516,931.23/57,762.37
  6. Step 6: Final answer
    x = 49,227.85

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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.