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Finding the Fourth Proportional to 52,206.50, 72,018.02 and 33,053.84

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Solution

The fourth proportional to 52,206.50, 72,018.02 and 33,053.84 is: 45,597.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,206.50 : 72,018.02 = 33,053.84 : x
  2. Step 2: Convert to fraction form
    52,206.50/72,018.02 = 33,053.84/x
  3. Step 3: Cross multiply
    52,206.50x = 72,018.02 × 33,053.84
  4. Step 4: Simplify right side
    52,206.50x = 2,380,472,110.20
  5. Step 5: Solve for x
    x = 2,380,472,110.20/52,206.50
  6. Step 6: Final answer
    x = 45,597.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.