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Finding the Fourth Proportional to 52,632.57, 72,632.87 and 29,971.56

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Solution

The fourth proportional to 52,632.57, 72,632.87 and 29,971.56 is: 41,360.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,632.57 : 72,632.87 = 29,971.56 : x
  2. Step 2: Convert to fraction form
    52,632.57/72,632.87 = 29,971.56/x
  3. Step 3: Cross multiply
    52,632.57x = 72,632.87 × 29,971.56
  4. Step 4: Simplify right side
    52,632.57x = 2,176,920,271.32
  5. Step 5: Solve for x
    x = 2,176,920,271.32/52,632.57
  6. Step 6: Final answer
    x = 41,360.71

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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.