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Finding the Fourth Proportional to 100,023.84, 138,027.80 and 54,693.02

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Solution

The fourth proportional to 100,023.84, 138,027.80 and 54,693.02 is: 75,473.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,023.84 : 138,027.80 = 54,693.02 : x
  2. Step 2: Convert to fraction form
    100,023.84/138,027.80 = 54,693.02/x
  3. Step 3: Cross multiply
    100,023.84x = 138,027.80 × 54,693.02
  4. Step 4: Simplify right side
    100,023.84x = 7,549,157,400.11
  5. Step 5: Solve for x
    x = 7,549,157,400.11/100,023.84
  6. Step 6: Final answer
    x = 75,473.58

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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.