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Finding the Fourth Proportional to 65,805.22, 90,810.92 and 35,590.58

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Solution

The fourth proportional to 65,805.22, 90,810.92 and 35,590.58 is: 49,114.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,805.22 : 90,810.92 = 35,590.58 : x
  2. Step 2: Convert to fraction form
    65,805.22/90,810.92 = 35,590.58/x
  3. Step 3: Cross multiply
    65,805.22x = 90,810.92 × 35,590.58
  4. Step 4: Simplify right side
    65,805.22x = 3,232,013,313.13
  5. Step 5: Solve for x
    x = 3,232,013,313.13/65,805.22
  6. Step 6: Final answer
    x = 49,114.85

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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.