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Finding the Fourth Proportional to 82,964.60, 114,490.86 and 45,238.82

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Solution

The fourth proportional to 82,964.60, 114,490.86 and 45,238.82 is: 62,429.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,964.60 : 114,490.86 = 45,238.82 : x
  2. Step 2: Convert to fraction form
    82,964.60/114,490.86 = 45,238.82/x
  3. Step 3: Cross multiply
    82,964.60x = 114,490.86 × 45,238.82
  4. Step 4: Simplify right side
    82,964.60x = 5,179,431,407.19
  5. Step 5: Solve for x
    x = 5,179,431,407.19/82,964.60
  6. Step 6: Final answer
    x = 62,429.41

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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.