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Finding the Fourth Proportional to 75,770.70, 113,607.45 and 31,415.10

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Solution

The fourth proportional to 75,770.70, 113,607.45 and 31,415.10 is: 47,102.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,770.70 : 113,607.45 = 31,415.10 : x
  2. Step 2: Convert to fraction form
    75,770.70/113,607.45 = 31,415.10/x
  3. Step 3: Cross multiply
    75,770.70x = 113,607.45 × 31,415.10
  4. Step 4: Simplify right side
    75,770.70x = 3,568,989,402.50
  5. Step 5: Solve for x
    x = 3,568,989,402.50/75,770.70
  6. Step 6: Final answer
    x = 47,102.50

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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.