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Finding the Fourth Proportional to 77,677.64, 116,442.64 and 49,518.65

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Solution

The fourth proportional to 77,677.64, 116,442.64 and 49,518.65 is: 74,230.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,677.64 : 116,442.64 = 49,518.65 : x
  2. Step 2: Convert to fraction form
    77,677.64/116,442.64 = 49,518.65/x
  3. Step 3: Cross multiply
    77,677.64x = 116,442.64 × 49,518.65
  4. Step 4: Simplify right side
    77,677.64x = 5,766,082,502.55
  5. Step 5: Solve for x
    x = 5,766,082,502.55/77,677.64
  6. Step 6: Final answer
    x = 74,230.92

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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.