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Finding the Fourth Proportional to 57,530.64, 86,300.64 and 15,977.64

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Solution

The fourth proportional to 57,530.64, 86,300.64 and 15,977.64 is: 23,967.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,530.64 : 86,300.64 = 15,977.64 : x
  2. Step 2: Convert to fraction form
    57,530.64/86,300.64 = 15,977.64/x
  3. Step 3: Cross multiply
    57,530.64x = 86,300.64 × 15,977.64
  4. Step 4: Simplify right side
    57,530.64x = 1,378,880,557.69
  5. Step 5: Solve for x
    x = 1,378,880,557.69/57,530.64
  6. Step 6: Final answer
    x = 23,967.76

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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.