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Finding the Fourth Proportional to 65,581.68, 98,333.64 and 30,529.20

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Solution

The fourth proportional to 65,581.68, 98,333.64 and 30,529.20 is: 45,775.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,581.68 : 98,333.64 = 30,529.20 : x
  2. Step 2: Convert to fraction form
    65,581.68/98,333.64 = 30,529.20/x
  3. Step 3: Cross multiply
    65,581.68x = 98,333.64 × 30,529.20
  4. Step 4: Simplify right side
    65,581.68x = 3,002,047,362.29
  5. Step 5: Solve for x
    x = 3,002,047,362.29/65,581.68
  6. Step 6: Final answer
    x = 45,775.70

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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.