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Finding the Fourth Proportional to 35,975.40, 49,646.16 and 19,842.32

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Solution

The fourth proportional to 35,975.40, 49,646.16 and 19,842.32 is: 27,382.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,975.40 : 49,646.16 = 19,842.32 : x
  2. Step 2: Convert to fraction form
    35,975.40/49,646.16 = 19,842.32/x
  3. Step 3: Cross multiply
    35,975.40x = 49,646.16 × 19,842.32
  4. Step 4: Simplify right side
    35,975.40x = 985,094,993.49
  5. Step 5: Solve for x
    x = 985,094,993.49/35,975.40
  6. Step 6: Final answer
    x = 27,382.46

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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.