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Finding the Fourth Proportional to 52,022.40, 78,004.80 and 20,822.40

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Solution

The fourth proportional to 52,022.40, 78,004.80 and 20,822.40 is: 31,222.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,022.40 : 78,004.80 = 20,822.40 : x
  2. Step 2: Convert to fraction form
    52,022.40/78,004.80 = 20,822.40/x
  3. Step 3: Cross multiply
    52,022.40x = 78,004.80 × 20,822.40
  4. Step 4: Simplify right side
    52,022.40x = 1,624,247,147.52
  5. Step 5: Solve for x
    x = 1,624,247,147.52/52,022.40
  6. Step 6: Final answer
    x = 31,222.07

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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.