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Finding the Fourth Proportional to 29,312.63, 40,465.38 and 19,638.75

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Solution

The fourth proportional to 29,312.63, 40,465.38 and 19,638.75 is: 27,110.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,312.63 : 40,465.38 = 19,638.75 : x
  2. Step 2: Convert to fraction form
    29,312.63/40,465.38 = 19,638.75/x
  3. Step 3: Cross multiply
    29,312.63x = 40,465.38 × 19,638.75
  4. Step 4: Simplify right side
    29,312.63x = 794,689,481.48
  5. Step 5: Solve for x
    x = 794,689,481.48/29,312.63
  6. Step 6: Final answer
    x = 27,110.82

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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.