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Finding the Fourth Proportional to 36,232.86, 49,978.34 and 26,176.08

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Solution

The fourth proportional to 36,232.86, 49,978.34 and 26,176.08 is: 36,106.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,232.86 : 49,978.34 = 26,176.08 : x
  2. Step 2: Convert to fraction form
    36,232.86/49,978.34 = 26,176.08/x
  3. Step 3: Cross multiply
    36,232.86x = 49,978.34 × 26,176.08
  4. Step 4: Simplify right side
    36,232.86x = 1,308,237,026.11
  5. Step 5: Solve for x
    x = 1,308,237,026.11/36,232.86
  6. Step 6: Final answer
    x = 36,106.37

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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.