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Finding the Fourth Proportional to 89,713.14, 123,798.21 and 53,881.86

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Solution

The fourth proportional to 89,713.14, 123,798.21 and 53,881.86 is: 74,353.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,713.14 : 123,798.21 = 53,881.86 : x
  2. Step 2: Convert to fraction form
    89,713.14/123,798.21 = 53,881.86/x
  3. Step 3: Cross multiply
    89,713.14x = 123,798.21 × 53,881.86
  4. Step 4: Simplify right side
    89,713.14x = 6,670,477,819.47
  5. Step 5: Solve for x
    x = 6,670,477,819.47/89,713.14
  6. Step 6: Final answer
    x = 74,353.41

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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.