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Finding the Fourth Proportional to 97,644.80, 146,474.40 and 35,307.20

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Solution

The fourth proportional to 97,644.80, 146,474.40 and 35,307.20 is: 52,963.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,644.80 : 146,474.40 = 35,307.20 : x
  2. Step 2: Convert to fraction form
    97,644.80/146,474.40 = 35,307.20/x
  3. Step 3: Cross multiply
    97,644.80x = 146,474.40 × 35,307.20
  4. Step 4: Simplify right side
    97,644.80x = 5,171,600,935.68
  5. Step 5: Solve for x
    x = 5,171,600,935.68/97,644.80
  6. Step 6: Final answer
    x = 52,963.40

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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.