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Finding the Fourth Proportional to 65,462.64, 90,338.43 and 35,654.64

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Solution

The fourth proportional to 65,462.64, 90,338.43 and 35,654.64 is: 49,203.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,462.64 : 90,338.43 = 35,654.64 : x
  2. Step 2: Convert to fraction form
    65,462.64/90,338.43 = 35,654.64/x
  3. Step 3: Cross multiply
    65,462.64x = 90,338.43 × 35,654.64
  4. Step 4: Simplify right side
    65,462.64x = 3,220,984,199.82
  5. Step 5: Solve for x
    x = 3,220,984,199.82/65,462.64
  6. Step 6: Final answer
    x = 49,203.40

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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.