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Finding the Fourth Proportional to 52,009.70, 71,775.21 and 29,354.20

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Solution

The fourth proportional to 52,009.70, 71,775.21 and 29,354.20 is: 40,509.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,009.70 : 71,775.21 = 29,354.20 : x
  2. Step 2: Convert to fraction form
    52,009.70/71,775.21 = 29,354.20/x
  3. Step 3: Cross multiply
    52,009.70x = 71,775.21 × 29,354.20
  4. Step 4: Simplify right side
    52,009.70x = 2,106,903,800.02
  5. Step 5: Solve for x
    x = 2,106,903,800.02/52,009.70
  6. Step 6: Final answer
    x = 40,509.83

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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.