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Finding the Fourth Proportional to 38,691.46, 53,424.93 and 31,113.51

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Solution

The fourth proportional to 38,691.46, 53,424.93 and 31,113.51 is: 42,961.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,691.46 : 53,424.93 = 31,113.51 : x
  2. Step 2: Convert to fraction form
    38,691.46/53,424.93 = 31,113.51/x
  3. Step 3: Cross multiply
    38,691.46x = 53,424.93 × 31,113.51
  4. Step 4: Simplify right side
    38,691.46x = 1,662,237,093.80
  5. Step 5: Solve for x
    x = 1,662,237,093.80/38,691.46
  6. Step 6: Final answer
    x = 42,961.34

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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.