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Finding the Fourth Proportional to 105,242.76, 157,812.97 and 35,098.38

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Solution

The fourth proportional to 105,242.76, 157,812.97 and 35,098.38 is: 52,630.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,242.76 : 157,812.97 = 35,098.38 : x
  2. Step 2: Convert to fraction form
    105,242.76/157,812.97 = 35,098.38/x
  3. Step 3: Cross multiply
    105,242.76x = 157,812.97 × 35,098.38
  4. Step 4: Simplify right side
    105,242.76x = 5,538,979,589.99
  5. Step 5: Solve for x
    x = 5,538,979,589.99/105,242.76
  6. Step 6: Final answer
    x = 52,630.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.