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Finding the Fourth Proportional to 97,461.64, 146,229.85 and 34,288.32

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Solution

The fourth proportional to 97,461.64, 146,229.85 and 34,288.32 is: 51,445.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,461.64 : 146,229.85 = 34,288.32 : x
  2. Step 2: Convert to fraction form
    97,461.64/146,229.85 = 34,288.32/x
  3. Step 3: Cross multiply
    97,461.64x = 146,229.85 × 34,288.32
  4. Step 4: Simplify right side
    97,461.64x = 5,013,975,890.35
  5. Step 5: Solve for x
    x = 5,013,975,890.35/97,461.64
  6. Step 6: Final answer
    x = 51,445.64

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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.