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Finding the Fourth Proportional to 75,326.37, 112,984.05 and 35,354.46

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Solution

The fourth proportional to 75,326.37, 112,984.05 and 35,354.46 is: 53,029.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,326.37 : 112,984.05 = 35,354.46 : x
  2. Step 2: Convert to fraction form
    75,326.37/112,984.05 = 35,354.46/x
  3. Step 3: Cross multiply
    75,326.37x = 112,984.05 × 35,354.46
  4. Step 4: Simplify right side
    75,326.37x = 3,994,490,076.36
  5. Step 5: Solve for x
    x = 3,994,490,076.36/75,326.37
  6. Step 6: Final answer
    x = 53,029.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.