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Finding the Fourth Proportional to 92,715.46, 127,940.34 and 52,433

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Solution

The fourth proportional to 92,715.46, 127,940.34 and 52,433 is: 72,353.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,715.46 : 127,940.34 = 52,433 : x
  2. Step 2: Convert to fraction form
    92,715.46/127,940.34 = 52,433/x
  3. Step 3: Cross multiply
    92,715.46x = 127,940.34 × 52,433
  4. Step 4: Simplify right side
    92,715.46x = 6,708,295,847.22
  5. Step 5: Solve for x
    x = 6,708,295,847.22/92,715.46
  6. Step 6: Final answer
    x = 72,353.58

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1.5x scale

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.