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Finding the Fourth Proportional to 29,782.40, 41,100.06 and 17,035.38

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Solution

The fourth proportional to 29,782.40, 41,100.06 and 17,035.38 is: 23,509.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,782.40 : 41,100.06 = 17,035.38 : x
  2. Step 2: Convert to fraction form
    29,782.40/41,100.06 = 17,035.38/x
  3. Step 3: Cross multiply
    29,782.40x = 41,100.06 × 17,035.38
  4. Step 4: Simplify right side
    29,782.40x = 700,155,140.12
  5. Step 5: Solve for x
    x = 700,155,140.12/29,782.40
  6. Step 6: Final answer
    x = 23,509.02

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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.