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Finding the Fourth Proportional to 38,924.88, 53,706.42 and 23,812.02

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Solution

The fourth proportional to 38,924.88, 53,706.42 and 23,812.02 is: 32,854.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,924.88 : 53,706.42 = 23,812.02 : x
  2. Step 2: Convert to fraction form
    38,924.88/53,706.42 = 23,812.02/x
  3. Step 3: Cross multiply
    38,924.88x = 53,706.42 × 23,812.02
  4. Step 4: Simplify right side
    38,924.88x = 1,278,858,347.17
  5. Step 5: Solve for x
    x = 1,278,858,347.17/38,924.88
  6. Step 6: Final answer
    x = 32,854.52

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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.