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Finding the Fourth Proportional to 77,581, 116,371.50 and 28,333

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Solution

The fourth proportional to 77,581, 116,371.50 and 28,333 is: 42,499.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,581 : 116,371.50 = 28,333 : x
  2. Step 2: Convert to fraction form
    77,581/116,371.50 = 28,333/x
  3. Step 3: Cross multiply
    77,581x = 116,371.50 × 28,333
  4. Step 4: Simplify right side
    77,581x = 3,297,153,709.50
  5. Step 5: Solve for x
    x = 3,297,153,709.50/77,581
  6. Step 6: Final answer
    x = 42,499.50

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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.