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Finding the Fourth Proportional to 123,814.94, 185,749.06 and 38,424.11

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Solution

The fourth proportional to 123,814.94, 185,749.06 and 38,424.11 is: 57,644.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,814.94 : 185,749.06 = 38,424.11 : x
  2. Step 2: Convert to fraction form
    123,814.94/185,749.06 = 38,424.11/x
  3. Step 3: Cross multiply
    123,814.94x = 185,749.06 × 38,424.11
  4. Step 4: Simplify right side
    123,814.94x = 7,137,242,682.15
  5. Step 5: Solve for x
    x = 7,137,242,682.15/123,814.94
  6. Step 6: Final answer
    x = 57,644.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.