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Finding the Fourth Proportional to 82,765.64, 114,214.20 and 46,958.96

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Solution

The fourth proportional to 82,765.64, 114,214.20 and 46,958.96 is: 64,802.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,765.64 : 114,214.20 = 46,958.96 : x
  2. Step 2: Convert to fraction form
    82,765.64/114,214.20 = 46,958.96/x
  3. Step 3: Cross multiply
    82,765.64x = 114,214.20 × 46,958.96
  4. Step 4: Simplify right side
    82,765.64x = 5,363,380,049.23
  5. Step 5: Solve for x
    x = 5,363,380,049.23/82,765.64
  6. Step 6: Final answer
    x = 64,802.01

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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.