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Finding the Fourth Proportional to 97,638.78, 146,468.98 and 31,055.56

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Solution

The fourth proportional to 97,638.78, 146,468.98 and 31,055.56 is: 46,586.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,638.78 : 146,468.98 = 31,055.56 : x
  2. Step 2: Convert to fraction form
    97,638.78/146,468.98 = 31,055.56/x
  3. Step 3: Cross multiply
    97,638.78x = 146,468.98 × 31,055.56
  4. Step 4: Simplify right side
    97,638.78x = 4,548,676,196.53
  5. Step 5: Solve for x
    x = 4,548,676,196.53/97,638.78
  6. Step 6: Final answer
    x = 46,586.78

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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.