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Finding the Fourth Proportional to 65,813.35, 90,822.07 and 35,598.64

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Solution

The fourth proportional to 65,813.35, 90,822.07 and 35,598.64 is: 49,125.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,813.35 : 90,822.07 = 35,598.64 : x
  2. Step 2: Convert to fraction form
    65,813.35/90,822.07 = 35,598.64/x
  3. Step 3: Cross multiply
    65,813.35x = 90,822.07 × 35,598.64
  4. Step 4: Simplify right side
    65,813.35x = 3,233,142,173.98
  5. Step 5: Solve for x
    x = 3,233,142,173.98/65,813.35
  6. Step 6: Final answer
    x = 49,125.93

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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.