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Finding the Fourth Proportional to 171,711.45, 257,564.43 and 47,052.45

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Solution

The fourth proportional to 171,711.45, 257,564.43 and 47,052.45 is: 70,577.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,711.45 : 257,564.43 = 47,052.45 : x
  2. Step 2: Convert to fraction form
    171,711.45/257,564.43 = 47,052.45/x
  3. Step 3: Cross multiply
    171,711.45x = 257,564.43 × 47,052.45
  4. Step 4: Simplify right side
    171,711.45x = 12,119,037,464.35
  5. Step 5: Solve for x
    x = 12,119,037,464.35/171,711.45
  6. Step 6: Final answer
    x = 70,577.92

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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.