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Finding the Fourth Proportional to 81,854.01, 112,957.37 and 46,044.01

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Solution

The fourth proportional to 81,854.01, 112,957.37 and 46,044.01 is: 63,540.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,854.01 : 112,957.37 = 46,044.01 : x
  2. Step 2: Convert to fraction form
    81,854.01/112,957.37 = 46,044.01/x
  3. Step 3: Cross multiply
    81,854.01x = 112,957.37 × 46,044.01
  4. Step 4: Simplify right side
    81,854.01x = 5,201,010,273.85
  5. Step 5: Solve for x
    x = 5,201,010,273.85/81,854.01
  6. Step 6: Final answer
    x = 63,540.08

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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.