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Finding the Fourth Proportional to 97,698.72, 146,471.51 and 38,578.64

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Solution

The fourth proportional to 97,698.72, 146,471.51 and 38,578.64 is: 57,837.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,698.72 : 146,471.51 = 38,578.64 : x
  2. Step 2: Convert to fraction form
    97,698.72/146,471.51 = 38,578.64/x
  3. Step 3: Cross multiply
    97,698.72x = 146,471.51 × 38,578.64
  4. Step 4: Simplify right side
    97,698.72x = 5,650,671,654.55
  5. Step 5: Solve for x
    x = 5,650,671,654.55/97,698.72
  6. Step 6: Final answer
    x = 57,837.72

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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.