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Finding the Fourth Proportional to 38,287.93, 52,829.22 and 23,177.65

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Solution

The fourth proportional to 38,287.93, 52,829.22 and 23,177.65 is: 31,980.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,287.93 : 52,829.22 = 23,177.65 : x
  2. Step 2: Convert to fraction form
    38,287.93/52,829.22 = 23,177.65/x
  3. Step 3: Cross multiply
    38,287.93x = 52,829.22 × 23,177.65
  4. Step 4: Simplify right side
    38,287.93x = 1,224,457,170.93
  5. Step 5: Solve for x
    x = 1,224,457,170.93/38,287.93
  6. Step 6: Final answer
    x = 31,980.24

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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.