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Finding the Fourth Proportional to 65,191.12, 89,965.02 and 42,544.60

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Solution

The fourth proportional to 65,191.12, 89,965.02 and 42,544.60 is: 58,712.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,191.12 : 89,965.02 = 42,544.60 : x
  2. Step 2: Convert to fraction form
    65,191.12/89,965.02 = 42,544.60/x
  3. Step 3: Cross multiply
    65,191.12x = 89,965.02 × 42,544.60
  4. Step 4: Simplify right side
    65,191.12x = 3,827,525,789.89
  5. Step 5: Solve for x
    x = 3,827,525,789.89/65,191.12
  6. Step 6: Final answer
    x = 58,712.38

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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.