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Finding the Fourth Proportional to 89,978.72, 124,194.65 and 51,742.44

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Solution

The fourth proportional to 89,978.72, 124,194.65 and 51,742.44 is: 71,418.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,978.72 : 124,194.65 = 51,742.44 : x
  2. Step 2: Convert to fraction form
    89,978.72/124,194.65 = 51,742.44/x
  3. Step 3: Cross multiply
    89,978.72x = 124,194.65 × 51,742.44
  4. Step 4: Simplify right side
    89,978.72x = 6,426,133,967.23
  5. Step 5: Solve for x
    x = 6,426,133,967.23/89,978.72
  6. Step 6: Final answer
    x = 71,418.38

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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.