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Finding the Fourth Proportional to 52,004.70, 78,007.05 and 16,947.90

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Solution

The fourth proportional to 52,004.70, 78,007.05 and 16,947.90 is: 25,421.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,004.70 : 78,007.05 = 16,947.90 : x
  2. Step 2: Convert to fraction form
    52,004.70/78,007.05 = 16,947.90/x
  3. Step 3: Cross multiply
    52,004.70x = 78,007.05 × 16,947.90
  4. Step 4: Simplify right side
    52,004.70x = 1,322,055,682.70
  5. Step 5: Solve for x
    x = 1,322,055,682.70/52,004.70
  6. Step 6: Final answer
    x = 25,421.85

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1.5x scale

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.