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Finding the Fourth Proportional to 45,876, 63,309.84 and 26,004

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Solution

The fourth proportional to 45,876, 63,309.84 and 26,004 is: 35,886.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,876 : 63,309.84 = 26,004 : x
  2. Step 2: Convert to fraction form
    45,876/63,309.84 = 26,004/x
  3. Step 3: Cross multiply
    45,876x = 63,309.84 × 26,004
  4. Step 4: Simplify right side
    45,876x = 1,646,309,079.36
  5. Step 5: Solve for x
    x = 1,646,309,079.36/45,876
  6. Step 6: Final answer
    x = 35,886.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.