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Finding the Fourth Proportional to 76,442.80, 114,664.20 and 41,013.40

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Solution

The fourth proportional to 76,442.80, 114,664.20 and 41,013.40 is: 61,520.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,442.80 : 114,664.20 = 41,013.40 : x
  2. Step 2: Convert to fraction form
    76,442.80/114,664.20 = 41,013.40/x
  3. Step 3: Cross multiply
    76,442.80x = 114,664.20 × 41,013.40
  4. Step 4: Simplify right side
    76,442.80x = 4,702,768,700.28
  5. Step 5: Solve for x
    x = 4,702,768,700.28/76,442.80
  6. Step 6: Final answer
    x = 61,520.10

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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.