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Finding the Fourth Proportional to 83,735.46, 115,554.92 and 46,009.71

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Solution

The fourth proportional to 83,735.46, 115,554.92 and 46,009.71 is: 63,493.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,735.46 : 115,554.92 = 46,009.71 : x
  2. Step 2: Convert to fraction form
    83,735.46/115,554.92 = 46,009.71/x
  3. Step 3: Cross multiply
    83,735.46x = 115,554.92 × 46,009.71
  4. Step 4: Simplify right side
    83,735.46x = 5,316,648,128.22
  5. Step 5: Solve for x
    x = 5,316,648,128.22/83,735.46
  6. Step 6: Final answer
    x = 63,493.39

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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.