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Finding the Fourth Proportional to 55,230.32, 76,218.17 and 31,357.40

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Solution

The fourth proportional to 55,230.32, 76,218.17 and 31,357.40 is: 43,273.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,230.32 : 76,218.17 = 31,357.40 : x
  2. Step 2: Convert to fraction form
    55,230.32/76,218.17 = 31,357.40/x
  3. Step 3: Cross multiply
    55,230.32x = 76,218.17 × 31,357.40
  4. Step 4: Simplify right side
    55,230.32x = 2,390,003,106.08
  5. Step 5: Solve for x
    x = 2,390,003,106.08/55,230.32
  6. Step 6: Final answer
    x = 43,273.39

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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.