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Finding the Fourth Proportional to 82,393.82, 113,702.28 and 46,582.64

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Solution

The fourth proportional to 82,393.82, 113,702.28 and 46,582.64 is: 64,283.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,393.82 : 113,702.28 = 46,582.64 : x
  2. Step 2: Convert to fraction form
    82,393.82/113,702.28 = 46,582.64/x
  3. Step 3: Cross multiply
    82,393.82x = 113,702.28 × 46,582.64
  4. Step 4: Simplify right side
    82,393.82x = 5,296,552,376.42
  5. Step 5: Solve for x
    x = 5,296,552,376.42/82,393.82
  6. Step 6: Final answer
    x = 64,283.37

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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.