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Finding the Fourth Proportional to 70,128.68, 105,193.95 and 23,381.57

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Solution

The fourth proportional to 70,128.68, 105,193.95 and 23,381.57 is: 35,072.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,128.68 : 105,193.95 = 23,381.57 : x
  2. Step 2: Convert to fraction form
    70,128.68/105,193.95 = 23,381.57/x
  3. Step 3: Cross multiply
    70,128.68x = 105,193.95 × 23,381.57
  4. Step 4: Simplify right side
    70,128.68x = 2,459,599,705.50
  5. Step 5: Solve for x
    x = 2,459,599,705.50/70,128.68
  6. Step 6: Final answer
    x = 35,072.67

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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.