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Finding the Fourth Proportional to 65,813.25, 90,822.03 and 35,598.66

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Solution

The fourth proportional to 65,813.25, 90,822.03 and 35,598.66 is: 49,126.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,813.25 : 90,822.03 = 35,598.66 : x
  2. Step 2: Convert to fraction form
    65,813.25/90,822.03 = 35,598.66/x
  3. Step 3: Cross multiply
    65,813.25x = 90,822.03 × 35,598.66
  4. Step 4: Simplify right side
    65,813.25x = 3,233,142,092.40
  5. Step 5: Solve for x
    x = 3,233,142,092.40/65,813.25
  6. Step 6: Final answer
    x = 49,126.00

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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.