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Finding the Fourth Proportional to 83,605.76, 115,376.04 and 47,796.54

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Solution

The fourth proportional to 83,605.76, 115,376.04 and 47,796.54 is: 65,959.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,605.76 : 115,376.04 = 47,796.54 : x
  2. Step 2: Convert to fraction form
    83,605.76/115,376.04 = 47,796.54/x
  3. Step 3: Cross multiply
    83,605.76x = 115,376.04 × 47,796.54
  4. Step 4: Simplify right side
    83,605.76x = 5,514,575,855.87
  5. Step 5: Solve for x
    x = 5,514,575,855.87/83,605.76
  6. Step 6: Final answer
    x = 65,959.28

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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.