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Finding the Fourth Proportional to 58,680, 87,961.68 and 27,459.36

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Solution

The fourth proportional to 58,680, 87,961.68 and 27,459.36 is: 41,161.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,680 : 87,961.68 = 27,459.36 : x
  2. Step 2: Convert to fraction form
    58,680/87,961.68 = 27,459.36/x
  3. Step 3: Cross multiply
    58,680x = 87,961.68 × 27,459.36
  4. Step 4: Simplify right side
    58,680x = 2,415,371,437.32
  5. Step 5: Solve for x
    x = 2,415,371,437.32/58,680
  6. Step 6: Final answer
    x = 41,161.75

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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.