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Finding the Fourth Proportional to 74,415.16, 111,642.06 and 24,503

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Solution

The fourth proportional to 74,415.16, 111,642.06 and 24,503 is: 36,760.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,415.16 : 111,642.06 = 24,503 : x
  2. Step 2: Convert to fraction form
    74,415.16/111,642.06 = 24,503/x
  3. Step 3: Cross multiply
    74,415.16x = 111,642.06 × 24,503
  4. Step 4: Simplify right side
    74,415.16x = 2,735,565,396.18
  5. Step 5: Solve for x
    x = 2,735,565,396.18/74,415.16
  6. Step 6: Final answer
    x = 36,760.86

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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.