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Finding the Fourth Proportional to 75,218.34, 103,848.50 and 48,407.44

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Solution

The fourth proportional to 75,218.34, 103,848.50 and 48,407.44 is: 66,832.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,218.34 : 103,848.50 = 48,407.44 : x
  2. Step 2: Convert to fraction form
    75,218.34/103,848.50 = 48,407.44/x
  3. Step 3: Cross multiply
    75,218.34x = 103,848.50 × 48,407.44
  4. Step 4: Simplify right side
    75,218.34x = 5,027,040,032.84
  5. Step 5: Solve for x
    x = 5,027,040,032.84/75,218.34
  6. Step 6: Final answer
    x = 66,832.64

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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.