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Finding the Fourth Proportional to 24,050.31, 36,079.41 and 7,409.98

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Solution

The fourth proportional to 24,050.31, 36,079.41 and 7,409.98 is: 11,116.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,050.31 : 36,079.41 = 7,409.98 : x
  2. Step 2: Convert to fraction form
    24,050.31/36,079.41 = 7,409.98/x
  3. Step 3: Cross multiply
    24,050.31x = 36,079.41 × 7,409.98
  4. Step 4: Simplify right side
    24,050.31x = 267,347,706.51
  5. Step 5: Solve for x
    x = 267,347,706.51/24,050.31
  6. Step 6: Final answer
    x = 11,116.19

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Why These Related Problems?

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