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Finding the Fourth Proportional to 55,062, 82,580.64 and 15,618.24

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Solution

The fourth proportional to 55,062, 82,580.64 and 15,618.24 is: 23,423.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,062 : 82,580.64 = 15,618.24 : x
  2. Step 2: Convert to fraction form
    55,062/82,580.64 = 15,618.24/x
  3. Step 3: Cross multiply
    55,062x = 82,580.64 × 15,618.24
  4. Step 4: Simplify right side
    55,062x = 1,289,764,254.87
  5. Step 5: Solve for x
    x = 1,289,764,254.87/55,062
  6. Step 6: Final answer
    x = 23,423.85

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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.