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Finding the Fourth Proportional to 83,144.84, 114,735.56 and 47,334.74

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Solution

The fourth proportional to 83,144.84, 114,735.56 and 47,334.74 is: 65,319.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,144.84 : 114,735.56 = 47,334.74 : x
  2. Step 2: Convert to fraction form
    83,144.84/114,735.56 = 47,334.74/x
  3. Step 3: Cross multiply
    83,144.84x = 114,735.56 × 47,334.74
  4. Step 4: Simplify right side
    83,144.84x = 5,430,977,901.35
  5. Step 5: Solve for x
    x = 5,430,977,901.35/83,144.84
  6. Step 6: Final answer
    x = 65,319.48

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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.