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Finding the Fourth Proportional to 65,015.66, 97,523.90 and 20,036.46

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Solution

The fourth proportional to 65,015.66, 97,523.90 and 20,036.46 is: 30,054.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,015.66 : 97,523.90 = 20,036.46 : x
  2. Step 2: Convert to fraction form
    65,015.66/97,523.90 = 20,036.46/x
  3. Step 3: Cross multiply
    65,015.66x = 97,523.90 × 20,036.46
  4. Step 4: Simplify right side
    65,015.66x = 1,954,033,621.21
  5. Step 5: Solve for x
    x = 1,954,033,621.21/65,015.66
  6. Step 6: Final answer
    x = 30,054.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.