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Finding the Fourth Proportional to 76,092, 105,007.32 and 42,558

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Solution

The fourth proportional to 76,092, 105,007.32 and 42,558 is: 58,730.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,092 : 105,007.32 = 42,558 : x
  2. Step 2: Convert to fraction form
    76,092/105,007.32 = 42,558/x
  3. Step 3: Cross multiply
    76,092x = 105,007.32 × 42,558
  4. Step 4: Simplify right side
    76,092x = 4,468,901,524.56
  5. Step 5: Solve for x
    x = 4,468,901,524.56/76,092
  6. Step 6: Final answer
    x = 58,730.24

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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.