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Finding the Fourth Proportional to 65,858.01, 90,884.16 and 35,643.35

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Solution

The fourth proportional to 65,858.01, 90,884.16 and 35,643.35 is: 49,187.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,858.01 : 90,884.16 = 35,643.35 : x
  2. Step 2: Convert to fraction form
    65,858.01/90,884.16 = 35,643.35/x
  3. Step 3: Cross multiply
    65,858.01x = 90,884.16 × 35,643.35
  4. Step 4: Simplify right side
    65,858.01x = 3,239,416,151.55
  5. Step 5: Solve for x
    x = 3,239,416,151.55/65,858.01
  6. Step 6: Final answer
    x = 49,187.89

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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.