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Finding the Fourth Proportional to 72,581, 108,871.50 and 23,333

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Solution

The fourth proportional to 72,581, 108,871.50 and 23,333 is: 34,999.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,581 : 108,871.50 = 23,333 : x
  2. Step 2: Convert to fraction form
    72,581/108,871.50 = 23,333/x
  3. Step 3: Cross multiply
    72,581x = 108,871.50 × 23,333
  4. Step 4: Simplify right side
    72,581x = 2,540,298,709.50
  5. Step 5: Solve for x
    x = 2,540,298,709.50/72,581
  6. Step 6: Final answer
    x = 34,999.50

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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.