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Finding the Fourth Proportional to 65,341.82, 98,013.81 and 17,956.62

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Solution

The fourth proportional to 65,341.82, 98,013.81 and 17,956.62 is: 26,935.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,341.82 : 98,013.81 = 17,956.62 : x
  2. Step 2: Convert to fraction form
    65,341.82/98,013.81 = 17,956.62/x
  3. Step 3: Cross multiply
    65,341.82x = 98,013.81 × 17,956.62
  4. Step 4: Simplify right side
    65,341.82x = 1,759,996,306.03
  5. Step 5: Solve for x
    x = 1,759,996,306.03/65,341.82
  6. Step 6: Final answer
    x = 26,935.22

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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.