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Finding the Fourth Proportional to 45,158.48, 67,639.44 and 27,575

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Solution

The fourth proportional to 45,158.48, 67,639.44 and 27,575 is: 41,302.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,158.48 : 67,639.44 = 27,575 : x
  2. Step 2: Convert to fraction form
    45,158.48/67,639.44 = 27,575/x
  3. Step 3: Cross multiply
    45,158.48x = 67,639.44 × 27,575
  4. Step 4: Simplify right side
    45,158.48x = 1,865,157,558
  5. Step 5: Solve for x
    x = 1,865,157,558/45,158.48
  6. Step 6: Final answer
    x = 41,302.49

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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.