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Finding the Fourth Proportional to 102,921.38, 142,031.50 and 55,817.38

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Solution

The fourth proportional to 102,921.38, 142,031.50 and 55,817.38 is: 77,027.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,921.38 : 142,031.50 = 55,817.38 : x
  2. Step 2: Convert to fraction form
    102,921.38/142,031.50 = 55,817.38/x
  3. Step 3: Cross multiply
    102,921.38x = 142,031.50 × 55,817.38
  4. Step 4: Simplify right side
    102,921.38x = 7,927,825,357.77
  5. Step 5: Solve for x
    x = 7,927,825,357.77/102,921.38
  6. Step 6: Final answer
    x = 77,027.98

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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.