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Finding the Fourth Proportional to 70,581, 105,871.50 and 21,333

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Solution

The fourth proportional to 70,581, 105,871.50 and 21,333 is: 31,999.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,581 : 105,871.50 = 21,333 : x
  2. Step 2: Convert to fraction form
    70,581/105,871.50 = 21,333/x
  3. Step 3: Cross multiply
    70,581x = 105,871.50 × 21,333
  4. Step 4: Simplify right side
    70,581x = 2,258,556,709.50
  5. Step 5: Solve for x
    x = 2,258,556,709.50/70,581
  6. Step 6: Final answer
    x = 31,999.50

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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.