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Finding the Fourth Proportional to 41,135.83, 61,703.75 and 9,971.08

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Solution

The fourth proportional to 41,135.83, 61,703.75 and 9,971.08 is: 14,956.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,135.83 : 61,703.75 = 9,971.08 : x
  2. Step 2: Convert to fraction form
    41,135.83/61,703.75 = 9,971.08/x
  3. Step 3: Cross multiply
    41,135.83x = 61,703.75 × 9,971.08
  4. Step 4: Simplify right side
    41,135.83x = 615,253,027.55
  5. Step 5: Solve for x
    x = 615,253,027.55/41,135.83
  6. Step 6: Final answer
    x = 14,956.62

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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.