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Finding the Fourth Proportional to 29,830.56, 41,174.76 and 19,894.56

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Solution

The fourth proportional to 29,830.56, 41,174.76 and 19,894.56 is: 27,460.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,830.56 : 41,174.76 = 19,894.56 : x
  2. Step 2: Convert to fraction form
    29,830.56/41,174.76 = 19,894.56/x
  3. Step 3: Cross multiply
    29,830.56x = 41,174.76 × 19,894.56
  4. Step 4: Simplify right side
    29,830.56x = 819,153,733.31
  5. Step 5: Solve for x
    x = 819,153,733.31/29,830.56
  6. Step 6: Final answer
    x = 27,460.22

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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.