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Finding the Fourth Proportional to 76,171.40, 105,116.25 and 42,637.40

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Solution

The fourth proportional to 76,171.40, 105,116.25 and 42,637.40 is: 58,839.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,171.40 : 105,116.25 = 42,637.40 : x
  2. Step 2: Convert to fraction form
    76,171.40/105,116.25 = 42,637.40/x
  3. Step 3: Cross multiply
    76,171.40x = 105,116.25 × 42,637.40
  4. Step 4: Simplify right side
    76,171.40x = 4,481,883,597.75
  5. Step 5: Solve for x
    x = 4,481,883,597.75/76,171.40
  6. Step 6: Final answer
    x = 58,839.45

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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.