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Finding the Fourth Proportional to 52,652.96, 78,935.00 and 24,558.20

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Solution

The fourth proportional to 52,652.96, 78,935.00 and 24,558.20 is: 36,816.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,652.96 : 78,935.00 = 24,558.20 : x
  2. Step 2: Convert to fraction form
    52,652.96/78,935.00 = 24,558.20/x
  3. Step 3: Cross multiply
    52,652.96x = 78,935.00 × 24,558.20
  4. Step 4: Simplify right side
    52,652.96x = 1,938,501,775.73
  5. Step 5: Solve for x
    x = 1,938,501,775.73/52,652.96
  6. Step 6: Final answer
    x = 36,816.58

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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.