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Finding the Fourth Proportional to 116,546.70, 174,704.85 and 46,332.30

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Solution

The fourth proportional to 116,546.70, 174,704.85 and 46,332.30 is: 69,452.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,546.70 : 174,704.85 = 46,332.30 : x
  2. Step 2: Convert to fraction form
    116,546.70/174,704.85 = 46,332.30/x
  3. Step 3: Cross multiply
    116,546.70x = 174,704.85 × 46,332.30
  4. Step 4: Simplify right side
    116,546.70x = 8,094,477,521.66
  5. Step 5: Solve for x
    x = 8,094,477,521.66/116,546.70
  6. Step 6: Final answer
    x = 69,452.65

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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.