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Finding the Fourth Proportional to 83,165.70, 114,775.47 and 47,366.94

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Solution

The fourth proportional to 83,165.70, 114,775.47 and 47,366.94 is: 65,370.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,165.70 : 114,775.47 = 47,366.94 : x
  2. Step 2: Convert to fraction form
    83,165.70/114,775.47 = 47,366.94/x
  3. Step 3: Cross multiply
    83,165.70x = 114,775.47 × 47,366.94
  4. Step 4: Simplify right side
    83,165.70x = 5,436,562,800.96
  5. Step 5: Solve for x
    x = 5,436,562,800.96/83,165.70
  6. Step 6: Final answer
    x = 65,370.25

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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.