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Finding the Fourth Proportional to 38,164.79, 52,693.38 and 23,830.22

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Solution

The fourth proportional to 38,164.79, 52,693.38 and 23,830.22 is: 32,901.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,164.79 : 52,693.38 = 23,830.22 : x
  2. Step 2: Convert to fraction form
    38,164.79/52,693.38 = 23,830.22/x
  3. Step 3: Cross multiply
    38,164.79x = 52,693.38 × 23,830.22
  4. Step 4: Simplify right side
    38,164.79x = 1,255,694,574.48
  5. Step 5: Solve for x
    x = 1,255,694,574.48/38,164.79
  6. Step 6: Final answer
    x = 32,901.92

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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.