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Finding the Fourth Proportional to 76,535.48, 105,625.50 and 42,550.58

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Solution

The fourth proportional to 76,535.48, 105,625.50 and 42,550.58 is: 58,723.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,535.48 : 105,625.50 = 42,550.58 : x
  2. Step 2: Convert to fraction form
    76,535.48/105,625.50 = 42,550.58/x
  3. Step 3: Cross multiply
    76,535.48x = 105,625.50 × 42,550.58
  4. Step 4: Simplify right side
    76,535.48x = 4,494,426,287.79
  5. Step 5: Solve for x
    x = 4,494,426,287.79/76,535.48
  6. Step 6: Final answer
    x = 58,723.44

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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.