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Finding the Fourth Proportional to 75,238.29, 103,830.03 and 45,024.90

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Solution

The fourth proportional to 75,238.29, 103,830.03 and 45,024.90 is: 62,135.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,238.29 : 103,830.03 = 45,024.90 : x
  2. Step 2: Convert to fraction form
    75,238.29/103,830.03 = 45,024.90/x
  3. Step 3: Cross multiply
    75,238.29x = 103,830.03 × 45,024.90
  4. Step 4: Simplify right side
    75,238.29x = 4,674,936,717.75
  5. Step 5: Solve for x
    x = 4,674,936,717.75/75,238.29
  6. Step 6: Final answer
    x = 62,135.07

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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.