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Finding the Fourth Proportional to 113,431.94, 170,134.94 and 30,332.42

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Solution

The fourth proportional to 113,431.94, 170,134.94 and 30,332.42 is: 45,495.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,431.94 : 170,134.94 = 30,332.42 : x
  2. Step 2: Convert to fraction form
    113,431.94/170,134.94 = 30,332.42/x
  3. Step 3: Cross multiply
    113,431.94x = 170,134.94 × 30,332.42
  4. Step 4: Simplify right side
    113,431.94x = 5,160,603,454.42
  5. Step 5: Solve for x
    x = 5,160,603,454.42/113,431.94
  6. Step 6: Final answer
    x = 45,495.15

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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.