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Finding the Fourth Proportional to 38,830.46, 53,585.76 and 22,063.46

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Solution

The fourth proportional to 38,830.46, 53,585.76 and 22,063.46 is: 30,447.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,830.46 : 53,585.76 = 22,063.46 : x
  2. Step 2: Convert to fraction form
    38,830.46/53,585.76 = 22,063.46/x
  3. Step 3: Cross multiply
    38,830.46x = 53,585.76 × 22,063.46
  4. Step 4: Simplify right side
    38,830.46x = 1,182,287,272.33
  5. Step 5: Solve for x
    x = 1,182,287,272.33/38,830.46
  6. Step 6: Final answer
    x = 30,447.42

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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.