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Finding the Fourth Proportional to 97,470.64, 146,211.18 and 30,915.82

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Solution

The fourth proportional to 97,470.64, 146,211.18 and 30,915.82 is: 46,375.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,470.64 : 146,211.18 = 30,915.82 : x
  2. Step 2: Convert to fraction form
    97,470.64/146,211.18 = 30,915.82/x
  3. Step 3: Cross multiply
    97,470.64x = 146,211.18 × 30,915.82
  4. Step 4: Simplify right side
    97,470.64x = 4,520,238,522.87
  5. Step 5: Solve for x
    x = 4,520,238,522.87/97,470.64
  6. Step 6: Final answer
    x = 46,375.39

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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.