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Finding the Fourth Proportional to 75,024, 103,536.36 and 41,490

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Solution

The fourth proportional to 75,024, 103,536.36 and 41,490 is: 57,257.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,024 : 103,536.36 = 41,490 : x
  2. Step 2: Convert to fraction form
    75,024/103,536.36 = 41,490/x
  3. Step 3: Cross multiply
    75,024x = 103,536.36 × 41,490
  4. Step 4: Simplify right side
    75,024x = 4,295,723,576.40
  5. Step 5: Solve for x
    x = 4,295,723,576.40/75,024
  6. Step 6: Final answer
    x = 57,257.99

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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.