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Finding the Fourth Proportional to 75,347.01, 103,978.44 and 41,354.64

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Solution

The fourth proportional to 75,347.01, 103,978.44 and 41,354.64 is: 57,069.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,347.01 : 103,978.44 = 41,354.64 : x
  2. Step 2: Convert to fraction form
    75,347.01/103,978.44 = 41,354.64/x
  3. Step 3: Cross multiply
    75,347.01x = 103,978.44 × 41,354.64
  4. Step 4: Simplify right side
    75,347.01x = 4,299,990,953.96
  5. Step 5: Solve for x
    x = 4,299,990,953.96/75,347.01
  6. Step 6: Final answer
    x = 57,069.17

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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.