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Finding the Fourth Proportional to 82,394.82, 113,703.66 and 46,583.64

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Solution

The fourth proportional to 82,394.82, 113,703.66 and 46,583.64 is: 64,284.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,394.82 : 113,703.66 = 46,583.64 : x
  2. Step 2: Convert to fraction form
    82,394.82/113,703.66 = 46,583.64/x
  3. Step 3: Cross multiply
    82,394.82x = 113,703.66 × 46,583.64
  4. Step 4: Simplify right side
    82,394.82x = 5,296,730,364.12
  5. Step 5: Solve for x
    x = 5,296,730,364.12/82,394.82
  6. Step 6: Final answer
    x = 64,284.75

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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.