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Finding the Fourth Proportional to 75,634.70, 113,503.08 and 56,928.56

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Solution

The fourth proportional to 75,634.70, 113,503.08 and 56,928.56 is: 85,431.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,634.70 : 113,503.08 = 56,928.56 : x
  2. Step 2: Convert to fraction form
    75,634.70/113,503.08 = 56,928.56/x
  3. Step 3: Cross multiply
    75,634.70x = 113,503.08 × 56,928.56
  4. Step 4: Simplify right side
    75,634.70x = 6,461,566,332.45
  5. Step 5: Solve for x
    x = 6,461,566,332.45/75,634.70
  6. Step 6: Final answer
    x = 85,431.25

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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.