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Finding the Fourth Proportional to 52,201.50, 72,038.07 and 29,849.82

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Solution

The fourth proportional to 52,201.50, 72,038.07 and 29,849.82 is: 41,192.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,201.50 : 72,038.07 = 29,849.82 : x
  2. Step 2: Convert to fraction form
    52,201.50/72,038.07 = 29,849.82/x
  3. Step 3: Cross multiply
    52,201.50x = 72,038.07 × 29,849.82
  4. Step 4: Simplify right side
    52,201.50x = 2,150,323,422.65
  5. Step 5: Solve for x
    x = 2,150,323,422.65/52,201.50
  6. Step 6: Final answer
    x = 41,192.75

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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.