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Finding the Fourth Proportional to 81,855.38, 112,959.28 and 46,045.40

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Solution

The fourth proportional to 81,855.38, 112,959.28 and 46,045.40 is: 63,542.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,855.38 : 112,959.28 = 46,045.40 : x
  2. Step 2: Convert to fraction form
    81,855.38/112,959.28 = 46,045.40/x
  3. Step 3: Cross multiply
    81,855.38x = 112,959.28 × 46,045.40
  4. Step 4: Simplify right side
    81,855.38x = 5,201,255,231.31
  5. Step 5: Solve for x
    x = 5,201,255,231.31/81,855.38
  6. Step 6: Final answer
    x = 63,542.01

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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.