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Finding the Fourth Proportional to 75,138.53, 112,703.94 and 25,219.04

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Solution

The fourth proportional to 75,138.53, 112,703.94 and 25,219.04 is: 37,827.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,138.53 : 112,703.94 = 25,219.04 : x
  2. Step 2: Convert to fraction form
    75,138.53/112,703.94 = 25,219.04/x
  3. Step 3: Cross multiply
    75,138.53x = 112,703.94 × 25,219.04
  4. Step 4: Simplify right side
    75,138.53x = 2,842,284,607.50
  5. Step 5: Solve for x
    x = 2,842,284,607.50/75,138.53
  6. Step 6: Final answer
    x = 37,827.26

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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.