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Finding the Fourth Proportional to 65,170.34, 89,935.02 and 35,362.34

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Solution

The fourth proportional to 65,170.34, 89,935.02 and 35,362.34 is: 48,800.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,170.34 : 89,935.02 = 35,362.34 : x
  2. Step 2: Convert to fraction form
    65,170.34/89,935.02 = 35,362.34/x
  3. Step 3: Cross multiply
    65,170.34x = 89,935.02 × 35,362.34
  4. Step 4: Simplify right side
    65,170.34x = 3,180,312,305.47
  5. Step 5: Solve for x
    x = 3,180,312,305.47/65,170.34
  6. Step 6: Final answer
    x = 48,800.00

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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.