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Finding the Fourth Proportional to 58,299, 87,463.26 and 16,746

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Solution

The fourth proportional to 58,299, 87,463.26 and 16,746 is: 25,123.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,299 : 87,463.26 = 16,746 : x
  2. Step 2: Convert to fraction form
    58,299/87,463.26 = 16,746/x
  3. Step 3: Cross multiply
    58,299x = 87,463.26 × 16,746
  4. Step 4: Simplify right side
    58,299x = 1,464,659,751.96
  5. Step 5: Solve for x
    x = 1,464,659,751.96/58,299
  6. Step 6: Final answer
    x = 25,123.24

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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.