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Finding the Fourth Proportional to 65,033.43, 97,563.32 and 36,966.93

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Solution

The fourth proportional to 65,033.43, 97,563.32 and 36,966.93 is: 55,457.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,033.43 : 97,563.32 = 36,966.93 : x
  2. Step 2: Convert to fraction form
    65,033.43/97,563.32 = 36,966.93/x
  3. Step 3: Cross multiply
    65,033.43x = 97,563.32 × 36,966.93
  4. Step 4: Simplify right side
    65,033.43x = 3,606,616,236.17
  5. Step 5: Solve for x
    x = 3,606,616,236.17/65,033.43
  6. Step 6: Final answer
    x = 55,457.88

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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.