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Finding the Fourth Proportional to 52,205.80, 78,260.10 and 36,410.80

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Solution

The fourth proportional to 52,205.80, 78,260.10 and 36,410.80 is: 54,582.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,205.80 : 78,260.10 = 36,410.80 : x
  2. Step 2: Convert to fraction form
    52,205.80/78,260.10 = 36,410.80/x
  3. Step 3: Cross multiply
    52,205.80x = 78,260.10 × 36,410.80
  4. Step 4: Simplify right side
    52,205.80x = 2,849,512,849.08
  5. Step 5: Solve for x
    x = 2,849,512,849.08/52,205.80
  6. Step 6: Final answer
    x = 54,582.30

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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.