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Finding the Fourth Proportional to 35,709.96, 49,274.64 and 19,795.32

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Solution

The fourth proportional to 35,709.96, 49,274.64 and 19,795.32 is: 27,314.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,709.96 : 49,274.64 = 19,795.32 : x
  2. Step 2: Convert to fraction form
    35,709.96/49,274.64 = 19,795.32/x
  3. Step 3: Cross multiply
    35,709.96x = 49,274.64 × 19,795.32
  4. Step 4: Simplify right side
    35,709.96x = 975,407,266.68
  5. Step 5: Solve for x
    x = 975,407,266.68/35,709.96
  6. Step 6: Final answer
    x = 27,314.71

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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.