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Finding the Fourth Proportional to 75,146, 103,709.04 and 41,612

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Solution

The fourth proportional to 75,146, 103,709.04 and 41,612 is: 57,428.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,146 : 103,709.04 = 41,612 : x
  2. Step 2: Convert to fraction form
    75,146/103,709.04 = 41,612/x
  3. Step 3: Cross multiply
    75,146x = 103,709.04 × 41,612
  4. Step 4: Simplify right side
    75,146x = 4,315,540,572.48
  5. Step 5: Solve for x
    x = 4,315,540,572.48/75,146
  6. Step 6: Final answer
    x = 57,428.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.