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Finding the Fourth Proportional to 105,040.29, 157,580.93 and 33,980.55

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Solution

The fourth proportional to 105,040.29, 157,580.93 and 33,980.55 is: 50,977.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,040.29 : 157,580.93 = 33,980.55 : x
  2. Step 2: Convert to fraction form
    105,040.29/157,580.93 = 33,980.55/x
  3. Step 3: Cross multiply
    105,040.29x = 157,580.93 × 33,980.55
  4. Step 4: Simplify right side
    105,040.29x = 5,354,686,670.91
  5. Step 5: Solve for x
    x = 5,354,686,670.91/105,040.29
  6. Step 6: Final answer
    x = 50,977.46

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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.