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Finding the Fourth Proportional to 58,890.50, 81,269.70 and 33,740

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Solution

The fourth proportional to 58,890.50, 81,269.70 and 33,740 is: 46,561.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,890.50 : 81,269.70 = 33,740 : x
  2. Step 2: Convert to fraction form
    58,890.50/81,269.70 = 33,740/x
  3. Step 3: Cross multiply
    58,890.50x = 81,269.70 × 33,740
  4. Step 4: Simplify right side
    58,890.50x = 2,742,039,678
  5. Step 5: Solve for x
    x = 2,742,039,678/58,890.50
  6. Step 6: Final answer
    x = 46,561.66

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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.