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Finding the Fourth Proportional to 76,171.68, 105,116.65 and 42,637.68

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Solution

The fourth proportional to 76,171.68, 105,116.65 and 42,637.68 is: 58,839.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,171.68 : 105,116.65 = 42,637.68 : x
  2. Step 2: Convert to fraction form
    76,171.68/105,116.65 = 42,637.68/x
  3. Step 3: Cross multiply
    76,171.68x = 105,116.65 × 42,637.68
  4. Step 4: Simplify right side
    76,171.68x = 4,481,930,085.37
  5. Step 5: Solve for x
    x = 4,481,930,085.37/76,171.68
  6. Step 6: Final answer
    x = 58,839.85

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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.