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Finding the Fourth Proportional to 74,178, 111,284.50 and 24,257.90

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Solution

The fourth proportional to 74,178, 111,284.50 and 24,257.90 is: 36,392.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,178 : 111,284.50 = 24,257.90 : x
  2. Step 2: Convert to fraction form
    74,178/111,284.50 = 24,257.90/x
  3. Step 3: Cross multiply
    74,178x = 111,284.50 × 24,257.90
  4. Step 4: Simplify right side
    74,178x = 2,699,528,272.55
  5. Step 5: Solve for x
    x = 2,699,528,272.55/74,178
  6. Step 6: Final answer
    x = 36,392.57

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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.