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Finding the Fourth Proportional to 85,294.75, 117,706.41 and 47,056.67

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Solution

The fourth proportional to 85,294.75, 117,706.41 and 47,056.67 is: 64,938.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,294.75 : 117,706.41 = 47,056.67 : x
  2. Step 2: Convert to fraction form
    85,294.75/117,706.41 = 47,056.67/x
  3. Step 3: Cross multiply
    85,294.75x = 117,706.41 × 47,056.67
  4. Step 4: Simplify right side
    85,294.75x = 5,538,871,456.97
  5. Step 5: Solve for x
    x = 5,538,871,456.97/85,294.75
  6. Step 6: Final answer
    x = 64,938.02

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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.