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Finding the Fourth Proportional to 38,705.73, 53,445.51 and 31,536.69

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Solution

The fourth proportional to 38,705.73, 53,445.51 and 31,536.69 is: 43,546.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,705.73 : 53,445.51 = 31,536.69 : x
  2. Step 2: Convert to fraction form
    38,705.73/53,445.51 = 31,536.69/x
  3. Step 3: Cross multiply
    38,705.73x = 53,445.51 × 31,536.69
  4. Step 4: Simplify right side
    38,705.73x = 1,685,494,480.76
  5. Step 5: Solve for x
    x = 1,685,494,480.76/38,705.73
  6. Step 6: Final answer
    x = 43,546.38

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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.