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Finding the Fourth Proportional to 97,479.12, 146,223.88 and 30,924.57

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Solution

The fourth proportional to 97,479.12, 146,223.88 and 30,924.57 is: 46,388.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,479.12 : 146,223.88 = 30,924.57 : x
  2. Step 2: Convert to fraction form
    97,479.12/146,223.88 = 30,924.57/x
  3. Step 3: Cross multiply
    97,479.12x = 146,223.88 × 30,924.57
  4. Step 4: Simplify right side
    97,479.12x = 4,521,910,612.73
  5. Step 5: Solve for x
    x = 4,521,910,612.73/97,479.12
  6. Step 6: Final answer
    x = 46,388.50

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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.