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Finding the Fourth Proportional to 74,213.84, 111,332.28 and 24,962

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Solution

The fourth proportional to 74,213.84, 111,332.28 and 24,962 is: 37,446.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,213.84 : 111,332.28 = 24,962 : x
  2. Step 2: Convert to fraction form
    74,213.84/111,332.28 = 24,962/x
  3. Step 3: Cross multiply
    74,213.84x = 111,332.28 × 24,962
  4. Step 4: Simplify right side
    74,213.84x = 2,779,076,373.36
  5. Step 5: Solve for x
    x = 2,779,076,373.36/74,213.84
  6. Step 6: Final answer
    x = 37,446.87

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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.