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Finding the Fourth Proportional to 38,282.16, 52,830 and 23,174.64

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Solution

The fourth proportional to 38,282.16, 52,830 and 23,174.64 is: 31,981.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,282.16 : 52,830 = 23,174.64 : x
  2. Step 2: Convert to fraction form
    38,282.16/52,830 = 23,174.64/x
  3. Step 3: Cross multiply
    38,282.16x = 52,830 × 23,174.64
  4. Step 4: Simplify right side
    38,282.16x = 1,224,316,231.20
  5. Step 5: Solve for x
    x = 1,224,316,231.20/38,282.16
  6. Step 6: Final answer
    x = 31,981.38

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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.