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Finding the Fourth Proportional to 76,311.88, 105,332.36 and 46,092.40

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Solution

The fourth proportional to 76,311.88, 105,332.36 and 46,092.40 is: 63,620.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,311.88 : 105,332.36 = 46,092.40 : x
  2. Step 2: Convert to fraction form
    76,311.88/105,332.36 = 46,092.40/x
  3. Step 3: Cross multiply
    76,311.88x = 105,332.36 × 46,092.40
  4. Step 4: Simplify right side
    76,311.88x = 4,855,021,270.06
  5. Step 5: Solve for x
    x = 4,855,021,270.06/76,311.88
  6. Step 6: Final answer
    x = 63,620.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.