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Finding the Fourth Proportional to 35,645.09, 49,191 and 19,730.63

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Solution

The fourth proportional to 35,645.09, 49,191 and 19,730.63 is: 27,228.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,645.09 : 49,191 = 19,730.63 : x
  2. Step 2: Convert to fraction form
    35,645.09/49,191 = 19,730.63/x
  3. Step 3: Cross multiply
    35,645.09x = 49,191 × 19,730.63
  4. Step 4: Simplify right side
    35,645.09x = 970,569,420.33
  5. Step 5: Solve for x
    x = 970,569,420.33/35,645.09
  6. Step 6: Final answer
    x = 27,228.70

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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.