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Finding the Fourth Proportional to 38,588.86, 53,242.67 and 22,670.20

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Solution

The fourth proportional to 38,588.86, 53,242.67 and 22,670.20 is: 31,279.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,588.86 : 53,242.67 = 22,670.20 : x
  2. Step 2: Convert to fraction form
    38,588.86/53,242.67 = 22,670.20/x
  3. Step 3: Cross multiply
    38,588.86x = 53,242.67 × 22,670.20
  4. Step 4: Simplify right side
    38,588.86x = 1,207,021,597.87
  5. Step 5: Solve for x
    x = 1,207,021,597.87/38,588.86
  6. Step 6: Final answer
    x = 31,279.02

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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.