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Finding the Fourth Proportional to 65,348.40, 97,935.12 and 32,017.44

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Solution

The fourth proportional to 65,348.40, 97,935.12 and 32,017.44 is: 47,983.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,348.40 : 97,935.12 = 32,017.44 : x
  2. Step 2: Convert to fraction form
    65,348.40/97,935.12 = 32,017.44/x
  3. Step 3: Cross multiply
    65,348.40x = 97,935.12 × 32,017.44
  4. Step 4: Simplify right side
    65,348.40x = 3,135,631,828.49
  5. Step 5: Solve for x
    x = 3,135,631,828.49/65,348.40
  6. Step 6: Final answer
    x = 47,983.30

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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.