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Finding the Fourth Proportional to 97,497.70, 146,203.35 and 44,923.30

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Solution

The fourth proportional to 97,497.70, 146,203.35 and 44,923.30 is: 67,365.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,497.70 : 146,203.35 = 44,923.30 : x
  2. Step 2: Convert to fraction form
    97,497.70/146,203.35 = 44,923.30/x
  3. Step 3: Cross multiply
    97,497.70x = 146,203.35 × 44,923.30
  4. Step 4: Simplify right side
    97,497.70x = 6,567,936,953.06
  5. Step 5: Solve for x
    x = 6,567,936,953.06/97,497.70
  6. Step 6: Final answer
    x = 67,365.05

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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.