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Finding the Fourth Proportional to 38,283.68, 52,830.36 and 21,287.48

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Solution

The fourth proportional to 38,283.68, 52,830.36 and 21,287.48 is: 29,376.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,283.68 : 52,830.36 = 21,287.48 : x
  2. Step 2: Convert to fraction form
    38,283.68/52,830.36 = 21,287.48/x
  3. Step 3: Cross multiply
    38,283.68x = 52,830.36 × 21,287.48
  4. Step 4: Simplify right side
    38,283.68x = 1,124,625,231.89
  5. Step 5: Solve for x
    x = 1,124,625,231.89/38,283.68
  6. Step 6: Final answer
    x = 29,376.10

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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.