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Finding the Fourth Proportional to 82,169.64, 113,397.51 and 46,359.51

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Solution

The fourth proportional to 82,169.64, 113,397.51 and 46,359.51 is: 63,978.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,169.64 : 113,397.51 = 46,359.51 : x
  2. Step 2: Convert to fraction form
    82,169.64/113,397.51 = 46,359.51/x
  3. Step 3: Cross multiply
    82,169.64x = 113,397.51 × 46,359.51
  4. Step 4: Simplify right side
    82,169.64x = 5,257,052,998.82
  5. Step 5: Solve for x
    x = 5,257,052,998.82/82,169.64
  6. Step 6: Final answer
    x = 63,978.05

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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.