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Finding the Fourth Proportional to 29,782.59, 41,100.12 and 17,038.59

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Solution

The fourth proportional to 29,782.59, 41,100.12 and 17,038.59 is: 23,513.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,782.59 : 41,100.12 = 17,038.59 : x
  2. Step 2: Convert to fraction form
    29,782.59/41,100.12 = 17,038.59/x
  3. Step 3: Cross multiply
    29,782.59x = 41,100.12 × 17,038.59
  4. Step 4: Simplify right side
    29,782.59x = 700,288,093.63
  5. Step 5: Solve for x
    x = 700,288,093.63/29,782.59
  6. Step 6: Final answer
    x = 23,513.34

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1.5x scale

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.