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Finding the Fourth Proportional to 102,407.49, 153,611.24 and 40,034.25

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Solution

The fourth proportional to 102,407.49, 153,611.24 and 40,034.25 is: 60,051.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,407.49 : 153,611.24 = 40,034.25 : x
  2. Step 2: Convert to fraction form
    102,407.49/153,611.24 = 40,034.25/x
  3. Step 3: Cross multiply
    102,407.49x = 153,611.24 × 40,034.25
  4. Step 4: Simplify right side
    102,407.49x = 6,149,710,584.80
  5. Step 5: Solve for x
    x = 6,149,710,584.80/102,407.49
  6. Step 6: Final answer
    x = 60,051.38

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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.