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Finding the Fourth Proportional to 102,125.26, 153,188.93 and 31,059.42

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Solution

The fourth proportional to 102,125.26, 153,188.93 and 31,059.42 is: 46,589.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,125.26 : 153,188.93 = 31,059.42 : x
  2. Step 2: Convert to fraction form
    102,125.26/153,188.93 = 31,059.42/x
  3. Step 3: Cross multiply
    102,125.26x = 153,188.93 × 31,059.42
  4. Step 4: Simplify right side
    102,125.26x = 4,757,959,316.22
  5. Step 5: Solve for x
    x = 4,757,959,316.22/102,125.26
  6. Step 6: Final answer
    x = 46,589.45

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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.