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Finding the Fourth Proportional to 74,214.84, 111,333.78 and 24,963

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Solution

The fourth proportional to 74,214.84, 111,333.78 and 24,963 is: 37,448.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,214.84 : 111,333.78 = 24,963 : x
  2. Step 2: Convert to fraction form
    74,214.84/111,333.78 = 24,963/x
  3. Step 3: Cross multiply
    74,214.84x = 111,333.78 × 24,963
  4. Step 4: Simplify right side
    74,214.84x = 2,779,225,150.14
  5. Step 5: Solve for x
    x = 2,779,225,150.14/74,214.84
  6. Step 6: Final answer
    x = 37,448.37

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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.