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Finding the Fourth Proportional to 94,383.60, 130,248.84 and 51,942

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Solution

The fourth proportional to 94,383.60, 130,248.84 and 51,942 is: 71,679.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,383.60 : 130,248.84 = 51,942 : x
  2. Step 2: Convert to fraction form
    94,383.60/130,248.84 = 51,942/x
  3. Step 3: Cross multiply
    94,383.60x = 130,248.84 × 51,942
  4. Step 4: Simplify right side
    94,383.60x = 6,765,385,247.28
  5. Step 5: Solve for x
    x = 6,765,385,247.28/94,383.60
  6. Step 6: Final answer
    x = 71,679.67

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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.